Question

The voltage across a 4.9 F capacitor increases by 29 V. If the initial charge on the capacitor is 718 C, determine the final charge.

Answer 1

To determine the final charge on the capacitor, calculate the capacitance and use the formula Q = CV. The final charge is approximately 719.07 C.

Step-by-step explanation:

To determine the final charge on the capacitor, we can use the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage.

Given that the voltage across the capacitor increases by 29 V and the initial charge is 718 C, we can use the formula to calculate the capacitance. Rearranging the formula, C = Q / V, we find that the capacitance is 718 C / 29 V = 24.83 F.

Now, using the final capacitance and the same formula, we can calculate the final charge. Q = CV = (24.83 F)(29 V) = 719.07 C.