Question

What value of resistor r gives the circuit in the figure a time constant of 25 μs ?

Answer 1

The value of resistor R that gives the circuit a time constant of 25 μs is 3.125 kΩ.

Step-by-step explanation:

The time constant of an RC circuit is given by the equation T = RC, where T is the time constant, R is the resistance, and C is the capacitance. In this case, the question asks for a time constant of 25 μs. So, we can set T = 25 μs and solve for R using the given capacitance.

Let's say the capacitance is 8.00 µF. Substituting the given values into the equation, we have:

T = RC

25 μs = R * 8.00 µF

R = 25 μs / 8.00 µF = 3.125 kΩ

Therefore, a resistor value of 3.125 kΩ will give the circuit a time constant of 25 μs.

Answer 2

The value of resistor R that gives the circuit a time constant of 25 μs is 3.125 kΩ.

The formula for the time constant (T) of an RC circuit is:

T = RC

Given that you want a time constant (T) of 25 μs and let's assume the capacitance (C) is 8.00 μF, you can rearrange the formula to solve for the resistance (R):

R = T / C

Substituting the values:

R = 25 μs / 8.00 μF

R = 3.125 kΩ