First slide

Electric field

Question

A ring of charge with radius 0.5 m has $0.002 π m$ gap. If the ring carries a charge of + 1 C, the electric field at the center is nearly

Moderate

A

$7.5 \times 10^{7} N C^{- 1}$
B

$7.2 \times 10^{7} N C^{- 1}$
C

$6.2 \times 10^{7} N C^{- 1}$
D

$6.5 \times 10^{7} N C^{- 1}$

Solution

Charge on the element opposite to the gap is
$d q = \frac{Q}{2 π r} (0.002 π)$
$E = \frac{d q}{4 π ε_{0} r^{2}}$

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