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Which of the following is the value of the magnetic field at the center of a loop of wire of radius $0.06 m$ and carrying a current of $10 A$ ?

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3 T

10^{- 5}

T

1.05 \times 10^{- 5}

T

1.05 \times 10^{- 4}

T

answer is D.

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Detailed Solution

The value of the magnetic field at the center of a loop of wire of radius

0.06 m

and carrying a current of

10 A

1.05 \times 10^{- 4} T

.
Current carrying conductor will induce a magnetic field around it. The general equation for magnetic strength of a current carrying conductor is

B = \frac{μ_{0} I}{2 r} - - - (i)

(The standard unit will be in tesla)
B is the strength of magnetic field
I is the current in ampere
r is the radius in meter

μ_{0}

is the permeability constant.
We can substitute all the values in (i) we get

B = \frac{4 π \times 10^{- 7} \times 10}{2 \times 0.06}

B = 1046.66 \times 10^{- 7}

Therefore B

= 1.05 \times 10^{- 4} T

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