Question

Two capacitors 10 uF and 25 uF are charged to a
potential of 100 V each. They are connected in
parallel. What is the potential across them?

Answer 1

Answer:

100

Explanation:

v=cu+CU/c+C

v=100

Answer 2

Answer:

The potential across the combination is 100 volts.

Explanation:

The common potential of the parallel combination of capacitors is,

$V=\frac{C_1V_1+C_2V_2}{C_1+C_2}$       (1)

Where,

V=common potential of the parallel combination of capacitors

C₁=Capacitance of the first capacitor

C₂=Capacitance of the second capacitor

V₁=potential across the first capacitor

V₂=potential across the second capacitor

From the question we have,

C₁=10μF

C₂=25μF

V₁=V₂=100V

By substituting the values in equation (1) we get;

$V=\frac{10\times 100+25\times 100}{10+25}$

$V=\frac{1000+2500}{35}$

$V=\frac{3500}{35}=100volt$

Hence, the potential across the combination is 100 volts.