Question

A voltage V(t)=10cos(2000πt) is applied to a 10-μF capacitance. What is the question asking?

a) Find the current through the capacitance
b) Determine the voltage across the capacitance
c) Calculate the charge on the capacitance
d) Identify the resistance in the circuit

Answer 1

To identify the resistance in the circuit, we can use the formula Z =sqrt(R^2 + X^2), where Z is the impedance of the circuit, R is the resistance, and X is the reactance.

Step-by-step explanation:

The question is asking for the identification of the resistance in the circuit given a voltage equation and a capacitance value. The voltage equation V(t)=10cos(2000πt) represents the voltage applied to the circuit, with a frequency of 2000π and an amplitude of 10. The capacitance of the circuit is given as 10-µF. To identify the resistance, we can use the formula Z = √(R^2 + X^2), where Z is the impedance of the circuit, R is the resistance, and X is the reactance. In this case, the reactance is given by X = 1/(2πfC), where f is the frequency and C is the capacitance.

Therefore, to find the resistance in the circuit, we need to calculate the reactance using the given frequency and capacitance values, and then use the impedance formula to solve for the resistance.