Two capacitors with capacitances of 1.5 and 0.25 mF,respectively,are connected in parallel.The system is connected to a 50-V battery.What charge accumulates on the 1.5-mF capacitor?
A)100 mC
B)75 mC
C)50 mC
D)33 mC

Question

Quizplus · Accepted Answer

When two capacitors are connected in parallel, the equivalent capacitance is given by:

Ceq = C1 + C2

Ceq = 1.5 mF + 0.25 mF = 1.75 mF

The charge q on a capacitor is given by:

q = CV

where V is the voltage across the capacitor.

In this case, the voltage across both capacitors is the same and is equal to 50 V.

For the 1.5 mF capacitor:

q1 = C1V = (1.5 mF)(50 V) = 75 mC

Therefore, the answer is B) 75 mC.

Two Capacitors with Capacitances of 1