The magnetic flux through a coil changes steadily from $4.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$ to $5.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$ in $0.10 \mathrm {~s}$. What emf is induced in this coil?
A) $1.0 \times 10 ^ { - 4 } \mathrm {~V}$
B) $5.0 \times 10 ^ { - 4 } \mathrm {~V}$
C) $4.0 \times 10^{ - 4} \mathrm {~V}$
D) None of the given answers are correct.

Question

Quizplus · Accepted Answer

The emf induced in a coil is given by the rate of change of magnetic flux through the coil. In this case, the magnetic flux changes from $4.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$ to $5.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$ in $0.10 \mathrm {~s}$, so the emf induced is:$$\varepsilon = \frac{\Delta \Phi}{\Delta t} = \frac{(5.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }) - (4.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 })}{0.10 \mathrm {~s}} = 1.0 \times 10 ^ { - 4 } \mathrm {~V}$$

The Magnetic Flux Through a Coil Changes Steadily From 4.0×10−5 T⋅m24.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }4.0×10−5 T⋅m2

The Magnetic Flux Through a Coil Changes Steadily From $4.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$