Magnetic Field Produced by Loops and Solenoids Video Lessons

Concept

# Problem: A 1200-turn coil of wire 2.10 cm in diameter in a magnetic field that increases from 0 T to 0.110 T in 11.0 ms. The axis of the coil is parallel to the field.What is the emf of the coil?Express your answer to two significant figures and include the appropriate units.

###### FREE Expert Solution

The induced emf in a coil of N turns is:

$\overline{){\mathbf{\epsilon }}{\mathbf{=}}{\mathbf{N}}{\mathbf{|}}\frac{\mathbf{d}{\mathbf{\varphi }}_{\mathbf{m}}}{\mathbf{d}\mathbf{t}}{\mathbf{|}}}$, where N is the number of turns, and ϕm is magnetic flux.

The magnetic flux ϕm is given by:

$\overline{)\begin{array}{rcl}{\mathbf{\varphi }}_{\mathbf{m}}& {\mathbf{=}}& \mathbf{B}\mathbf{·}\mathbf{A}\\ & {\mathbf{=}}& \mathbf{B}\mathbf{A}\mathbf{c}\mathbf{o}\mathbf{s}\mathbf{\theta }\end{array}}$

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###### Problem Details

A 1200-turn coil of wire 2.10 cm in diameter in a magnetic field that increases from 0 T to 0.110 T in 11.0 ms. The axis of the coil is parallel to the field.

What is the emf of the coil?
Express your answer to two significant figures and include the appropriate units.