QCEVault

Electromagnetism — Question 234

Original QCE Vault practice · 5 marks

Q234 · Practice questionComplex familiar5 marks

QUESTION 234 (5 marks)

A rectangular conducting loop has horizontal width 0.100 m0.100\,\mathrm m, vertical height 0.200 m0.200\,\mathrm m and total resistance 2.00 Ω2.00\,\Omega. It moves right at 0.500 m s−10.500\,\mathrm{m\,s^{-1}} into a uniform 0.300 T0.300\,\mathrm T field directed into the page. Outside the field, B is zero. Ignore self-inductance. Consider an instant when only part of the loop is inside the field.
Rectangular loop partly enters a field region into the page. A rightward arrow gives speed 0.500 m/s. Dimensions outside the loop identify vertical height 0.200 m and horizontal width 0.100 m. Not to scale.
a)
Calculate the magnitude of the induced EMF during entry.
[2 marks]
b)
Determine the current magnitude and direction, viewed as drawn.
[2 marks]
c)
State the induced EMF once the loop is completely inside the uniform field and continues moving at the same velocity.
[1 mark]
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