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Question: A condenser of capacity \(50\mu F\)is charged to \(10\mspace{6mu} volts\). Its energy is equal to...

A condenser of capacity 50μF50\mu Fis charged to 10 6muvolts10\mspace{6mu} volts. Its energy is equal to

A

2.5×10−3 6mujoule2.5 \times 10^{- 3}\mspace{6mu} joule

B

2.5×10−4 6mujoule2.5 \times 10^{- 4}\mspace{6mu} joule

C

5×10−2 6mujoule5 \times 10^{- 2}\mspace{6mu} joule

D

1.2×10−8 6mujoule1.2 \times 10^{- 8}\mspace{6mu} joule

Answer

2.5×10−3 6mujoule2.5 \times 10^{- 3}\mspace{6mu} joule

Explanation

Solution

U=12CV2=12×50×10−6×(10)2=2.5×10−3JU = \frac{1}{2}CV^{2} = \frac{1}{2} \times 50 \times 10^{- 6} \times (10)^{2} = 2.5 \times 10^{- 3}J