PMDC Verified Question 37 of 69
One meter long copper rod is moving with speed \( 20 \text{ ms}^{-1} \) in the magnetic field of strength \( 0.6 \text{ T} \). What is the value of induced emf?
A
10 V
B
12 V
C
14 V
D
16 V
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: 12 V
Concept:

When a conductor moves perpendicularly through a magnetic field, motional EMF is induced across its ends.

Formula:

$$ \varepsilon = v B L \sin(\theta) $$

Solution:

  • Given: Length \( L = 1 \text{ m} \), Speed \( v = 20 \text{ ms}^{-1} \), Magnetic Field \( B = 0.6 \text{ T} \).


  • Assuming perpendicular motion (\( \sin(90^\circ) = 1 \)):

    $$ \varepsilon = 20 \times 0.6 \times 1 $$

    $$ \varepsilon = 12 \text{ V} $$


Why other options are incorrect:

Options A, C, and D are incorrect products of the given values. 12 V is the exact mathematical result.

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