This invention relates to a semiconductor device which enables a stable bias current (voltage) to be supplied even when changes occur in the current amplification factor of a transistor in, for example, a bias circuit.
Generally, a transistor is used in varying the degree in which signals are amplified in, for example, an integrated circuit. Where a plurality of output currents (voltages) supplied from signal current (voltage) paths are handled, it is difficult to ensure the stable operation of the integrated circuit due to variations in the current amplification factor of transistors constituting the signal paths or loss of signals resulting from temperature changes. Particularly where different numbers of transistors constitute the respective signal paths, it is necessary to provide correction means in order to pass current bearing the prescribed ratio through the signal paths. FIG. 1 shows the prior art circuit which is not equipped with countermeasures against fluctuations in the properties of transistors used. With this prior art circuit, the base of a transistor Q.sub.1 is connected to a bias power source V.sub.1. The emitter of the transistor Q.sub.1 is grounded through a resistor R.sub.E1 and the collector thereof is connected to the emitter of a transistor Q.sub.3 whose base is connected to a signal source (or power source) +B.sub.1. The collector of the transistor Q.sub.3 is connected to a load 1 for detecting current (voltage). The base of a transistor Q.sub.2 is connected to a bias power source V.sub.2. The emitter of said transistor Q.sub.2 is grounded through a resistor R.sub.E2, and the collector thereof is connected to a load 2 for detecting current (voltage).
There will now be described the operation of the prior art circuit arranged as described above. With .beta. taken to denote the current amplification factor of the transistors, then currents I.sub.1, I.sub.2 supplied to the load 1 and load 2 may be expressed by the following formulas: ##EQU1## (where V.sub.BE1 denotes voltage impressed across the base and emitter of the transistor Q.sub.1) ##EQU2## (where V.sub.BE2 shows voltage impressed across the base and emitter of the transistor Q.sub.2)
To simplify description, the assumption of V.sub.1 =V.sub.2, V.sub.BE1 =V.sub.BE2 and R.sub.E1 =R.sub.E2 is used. Where, in this case, the current amplification factor .beta. has a sufficiently large value, then the term .beta./(1+.beta.) has 1 approximately.
Namely, both currents I.sub.1, I.sub.2 have the same value. Where .beta. decreases in value, then the term .beta./(1+.beta.) has a smaller value than 1, causing the current I.sub.1 to have a smaller value than the current I.sub.2. Generally, the current amplification factor .beta. of a transistor varies from a relatively small value to a relatively large value, and particularly according to temperature changes. Since noncoincidence arises between a current amplification factor .beta. estimated when a circuit arrangement is designed and an amplification factor .beta. occurring during the actual operation of a circuit, a semiconductor device in practical use has an unstable property.
This invention has been accomplished in view of the above-mentioned circumstances and intended to provide a semiconductor device which always makes a stable operation regardless of changes in the current amplification factor of the transistors used.
This invention can be more fully understood from the following detailed description when taken in conjunction with the accompanying drawing, in which:
FIG. 1 shows the circuit arrangement of a semiconductor device which is not equipped with countermeasures against variations in the property of a transistor; and
FIGS. 2 and 3 show the circuit arrangements of semiconductor devices according to the preferred embodiments of this invention.
There will now be described by reference to FIG. 2 a semiconductor device according to one embodiment of this invention. The base of a transistor Q.sub.1 is connected to a bias power source V.sub.1 and the emitter thereof is grounded through an emitter resistor R.sub.E1. The collector of said transistor Q.sub.1 is connected to the emitter of a transistor Q.sub.3 whose base is connected to a signal source (or power source) +B.sub.1. The collector of the transistor Q.sub.3 is connected to a load 1 for detecting current (voltage). With this embodiment, an n number of transistors are cascade-connected jointly to act as a signal inlet or bias power source. For comparison of the semiconductor device of this invention with that of the prior art, description is first given of one transistor. The base of a transistor Q.sub.2 is connected to a signal source (or power source) through a resistor R.sub.0. The emitter of said transistor Q.sub.2 is grounded through a resistor R.sub.E2, and the collector thereof is connected to a load 2 for detecting current (voltage). With .beta. taken to denote the current amplification factor of a transistor, then currents I'.sub.1, I'.sub.2 supplied to the load 1 and load 2 respectively may be expressed by the following formulas: ##EQU3## (where the term V.sub.BE1 denotes voltage impressed across the base and emitter of the transistor Q.sub.1) ##EQU4## (where the term V.sub.BE2 shows voltage impressed across the base and emitter of the transistor Q.sub.2)
The above formula (3) may be converted into: ##EQU5##
Considering that the current amplification factor .beta. of a transistor in practical use has a minimum value of 20-40, the third term of the above formula (5) may be regarded to have a fully smaller value than those of the other terms. Therefore, the following formula results. ##EQU6##
Assuming that the currents I'.sub.1, I'.sub.2 flowing through the load 1 and load 2 are demanded to have the same value, the condition of establishing I'.sub.1 =I'.sub.2 may be determined from the formula (7) below: ##EQU7##
Assuming V.sub.1 =V.sub.2, V.sub.BE1 =V.sub.BE2 and R.sub.E1 =R.sub.E2 to simplify description, then the above formula (7) may be converted into: ##EQU8##
Further assuming that the following formula can be applied to the right side of the above formula (8): ##EQU9## then there results the following formula: ##EQU10## Thus, the condition of establishing I'.sub.1 =I'.sub.2 is found to be expressed by the formula: ##EQU11##
Where, with the foregoing embodiment, the resistor R.sub.0 is designed to have substantially the same resistance as the resistor R.sub.E2, then the currents I'.sub.1, I'.sub.2 can be made to have approximately the same value even when the current amplification factor of a transistor happens to decrease. Thus it has become possible to handle signals as desired by the use of said currents I'.sub.1, I'.sub.2.
There will now be described the case where an n number of transistors are cascade-connected in place of a single transistor Q.sub.3.
The current I'.sub.1 supplied to the load 1 has a value expressed by the following formula: ##EQU12##
Approximate formula represented by the first two terms of a formula developed from the above formula (12) may become the following. ##EQU13##
Now assuming that the formula (13) and the formula (4) have the same value, and further where the formulas V.sub.1 =V.sub.2, V.sub.BE1 =V.sub.BE2 and R.sub.E1 =R.sub.E2 are supposed to be applicable, then calculation from the aforesaid approximation formula provides the formula:
If, therefore, the resistor R.sub.0 is designed to have a resistance n times as high as that of the resistor R.sub.E2, then the currents I'.sub.1, I'.sub.2 can have the same value. It is seen therefore that a semiconductor device can make as stable an operation as in the previously described case, regardless of changes in the current amplification factor of the transistors involved. In the first embodiment, the ratio between the values of the currents I'.sub.1, I'.sub.2 was chosen to be 1. However, this invention is not limited thereto. If measures are taken, for example, to cause the emitter resistor R.sub.E1 of the transistor Q.sub.1 to have the prescribed resistance, then the currents I'.sub.1, I'.sub.2 will bear the prescribed ratio to each other, provided the formula (14) is satisfied.
There will now be described by reference to FIG. 3 a semiconductor device according to another embodiment of this invention. The base of a transistor Q.sub.1 is connected to a bias power source V.
The emitter of said transistor Q.sub.1 is grounded through a resistor R.sub.E1. The collector of said transistor Q.sub.1 is connected to a common emitter terminal of transistors Q.sub.3, Q.sub.4 of a differential amplifier whose bases are jointly connected to a bias power source (or signal source) +B.sub.1. The collectors of said transistors Q.sub.3, Q.sub.4 are connected to the respective common emitters of two groups of transistors Q.sub.5 -Q.sub.6 and Q.sub.7 -Q.sub.8 which are included in a double balanced type differential amplifier. The bases of the transistors Q.sub.5, Q.sub.8 are connected to a bias power source (or signal source) +B.sub.2. The bases of the transistors Q.sub.6, Q.sub.7 are connected to a bias power source (or signal source) +B.sub.3. The common collector terminal of the transistors Q.sub.5, Q.sub.7 is connected to a load 1 for detecting current (voltage). The common collector terminal of the transistors Q.sub.6, Q.sub.8 is connected to a power source V.sub. CC. The base of the transistor Q.sub.2 is connected to the bias power source V through a resistor R.sub.0. The emitter of said transistor Q.sub.2 is grounded through a resistor R.sub.E2, and the collector thereof is connected to a load 2 for detecting current (voltage).
There will now be described the operation of a semiconductor device according to the second embodiment whose circuit is arranged as described above. With .beta. taken to denote the current amplification factor of a transistor, the currents I".sub.1, I".sub.2 supplied to the loads 1, 2 respectively are expressed by the following formulas: ##EQU14##
Where the formulas R.sub.E1 =1/2R.sub.E2 and V.sub.BE1 =V.sub.BE2 are supposed to be applicable for simplification of description, and the same approximation calculation is made as in the aforesaid case, then it is advised to design the resistor R.sub.0 to have a resistance about twice as high as that of the resistor R.sub.E2. Then the currents I".sub.1, I".sub.2 will have the same value, even when the current simplification factor .beta. of a transistor decreases, thereby enabling a semiconductor device to make the same stable operation as when said amplification factor .beta. has a fully large value.
The fluctuating operation of a semiconductor device resulting from variations in the current amplification factor .beta. of a transistor gives rise to difficulties in integrating a plurality of transistors. This invention provides a semiconductor device well adapted for integration which can eliminate the above-mentioned difficulties by causing the ratio between the resistances of the prescribed resistors which is defined by a number of cascade-connected transistors to have the prescribed value.