A ring of charge with radius 0.5, m having a 0.02, m gap, carries a charge of +1, C . field at centr

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1. Electric Charges and Fields

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A ring of charge with radius $0.5\, m$ having a $0.02\, m$ gap, carries a charge of $+1\, C$. The field at the centre is

A

$2.31\times10^4\, N/C$

B

$2.31\times10^8\, N/C$

C

$1.6\times10^4\, N/C$

D

$1.6\times10^8\, N/C$

Solution

A ring of charge $=0.5 \mathrm{m}$ has $0.02 \mathrm{m}$

$q=+1 e$

The electric field at the centre $=$

Let us suppose the ring is complete, then, the complete ring has a large. $1c$ along with a negative charge of

So, $\frac{K_{q}}{r^{2}}=\frac{q \times 10^{9} \times 1}{0.25}=2.31 \times 10^{8} N / C$

Standard 12

Physics

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