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The magnetic field at the earth's surface can vary in response to solar activity. During one intense solar storm, the vertical component of the magnetic field changed by 2.8 ?T per minute, causing voltage spikes in large loops of the power grid that knocked out power in parts of Canada.

What emf is induced in a square 190km on a side by this rate of change of field?

Answer :

Answer:

The induced emf is 1684.67 V.

Explanation:

Given that,

Rate of change of magnetic field = 2.8 μT/m

Distance = 190 km

We need to calculate the area

Using formula of area

[tex]A=r^2[/tex]

Put the value into the formula

[tex]A=(190\times10^{3})^2[/tex]

[tex]A=3.61\times10^{10}\ m^2[/tex]

We need to calculate the induced emf

Using formula of induced emf

[tex]\epsilon=A\dfrac{dB}{dt}[/tex]

Put the value into the formula

[tex]\epsilon=3.61\times10^{10}\times\dfrac{2.8\times10^{-6}}{60}[/tex]

[tex]\epsilon=1684.67\ V[/tex]

Hence, The induced emf is 1684.67 V.

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