Question

A circular ring has radius 10 cm and total resistance 9 ohm and a cell of emf 6 volt is connected between points a and b find the net magnetic field at the centre of the circular coil

Answer 1

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Answer 2

Answer:

The magnetic field at the center of the circular coil is 4.20 μT.

Explanation:

Given that,

Radius = 10 cm

Resistance = 9 ohm

emf = 6 volt

We need to calculate the current

Using formula of current

$V= IR$

$I=\dfrac{V}{R}$

Put the value into the formula

$I=\dfrac{6}{9}$

$I=0.67\ A$

We need to calculate the magnetic field at the center of the circular coil

Using formula of magnetic field

$B=\dfrac{\mu_{0}I}{2R}$

Put the value into the formula

$B=\dfrac{4\pi\times10^{-7}\times0.67}{2\times10\times10^{-2}}$

$B=0.00000420\ T$

$B=4.20\times10^{-6}\ T$

$B=4.20\ \mu T$

Hence, The magnetic field at the center of the circular coil is 4.20 μT.

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Topic : magnetic field

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