Question

A closely wounded circular coil of radius 5 cm produces a magnetic field of 37.68 × 10^-4 T at its center. The current through the coil is ______ A. [Given, number of turns in the coil is 100 and π = 3.14)

Options

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• 3

• 4

Answer 1

A closely wounded circular coil of radius 5 cm produces a magnetic field of 37.68 × 10^-4 T at its center. The current through the coil is 3 A. [Given, number of turns in the coil is 100 and π = 3.14)

Explanation:

Magnetic field at centre of ring/coil is given as,

`"B"_"centre"= ("N"mu_0"I")/(2"R")`

⇒ 37.68  × 10^-4 

= `(100xx4pixx10^-7xx"I")/(2xx5xx10^-2)`

⇒ I = 3A