Question

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 μT per minute, causing voltage spikes in large loops of the power grid that knocked out power in parts of Canada. You may want to review (Pages 815 - 817) . Part A What emf is induced in a square 110 km on a side by this rate of change of field

Answer 1

`EMF = 33880 Volts`

Step-by-step explanation:

As per Faraday's law of Electromagnetic induction we know that

Rate of change in magnetic flux will induce EMF in the closed conducting loop

so we have

`\phi = B.A`

now we have

`A = (110 * 10^3)(110 * 10^3)`

`A = 1.21 * 10^(10)`

now we have

`\phi = B(1.21 * 10^(10))`

now the induced EMF through this loop is given as

`EMF = ((dB)/(dt))(1.21 * 10^(10))`

`EMF = (2.8 * 10^(-6))(1.21 * 10^(10))`

`EMF = 33880 Volts`