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QUESTION: 1

For the difference amplifier which of the following is true?

Solution:

All the statements are not true except for the fact that it responds only when there is difference between two signals only.

QUESTION: 2

If for an amplifier the common mode input signal is v_{c}, the differential signal id v_{d} and A_{c} and A_{d} represent common mode gain and differential gain respectively, then the output voltage v_{0}is given by

Solution:

It is a standard mathematical expression.

QUESTION: 3

. If for an amplifier v_{1} and v_{2} are the input signals, v_{c} and v_{d} represent the common mode and differential signals respectively, then the expression for CMRR (Common Mode Rejection Ratio) is

Solution:

Note that all the expressions are identical.

QUESTION: 4

The problem with the single operational difference amplifier is its

Solution:

Due to low input resistance a large part of the signal is lost to the source’s internal resistance.

QUESTION: 5

For the difference amplifier as shown in the figure show that if each resistor has a tolerance of ±100 ε % (i.e., for, say, a 5% resistor, ε = 0.05) then the worst-case CMRR is given approximately by (given K = R_{2}/R_{1} = R_{4}/R_{3})

Solution:

QUESTION: 6

For the circuit given below determine the input common mode resistance.

Solution:

Parallel combination of series combination of R_{1} & R_{3} with the series combination of R_{3} and R_{4} is the required answer as is visible by the circuit.

QUESTION: 7

For the circuit shown below express v_{0} as a function of v_{1} and v_{2}.

Solution:

Considering the fact that the potential at the input terminals are identical and proceeding we obtain the given result.

QUESTION: 8

For the difference amplifier shown below, let all the resistors be 10kΩ ± x%. The expression for the worst-case common-mode gain is

Solution:

QUESTION: 9

Determine A_{d} and A_{c} for the given circuit.

Solution:

Consider the fact that the potential at the input terminals are identical and obtain the values of V_{1} and V_{2}. Thus obtain the value of V_{d} and V_{c}.

QUESTION: 10

Determine the voltage gain for the given circuit known that R_{1} = R_{3} = 10kΩ abd R_{2} = R_{4} = 100kΩ.

Solution:

Voltage gain is 100/10.

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