Question:
A conducting wire frame is placed in a magnetic field which is directed into the paper. The magnetic field is increasing at a constant rate. The directions of induced current in wires $AB$ and $CD$ are
A conducting wire frame is placed in a magnetic field which is directed into the paper. The magnetic field is increasing at a constant rate. The directions of induced current in wires $AB$ and $CD$ are
Updated On: Apr 26, 2024
- B to A and D to C
- A to B and C to D
- A to B and D to C
- B to A and C to D
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The Correct Option is A
Solution and Explanation
Inward magnetic field (') increasing. Therefore, induced current in both the loops should be anticlockwise. But as the area of loop on right side is more, induced emf in this will be more compared to the left side loop
$\left( e =-\frac{ do }{ dt }=- A \cdot \frac{ dB }{ dt }\right)$
Therefore net current in the complete loop will be in a direction shown above.
$\left( e =-\frac{ do }{ dt }=- A \cdot \frac{ dB }{ dt }\right)$
Therefore net current in the complete loop will be in a direction shown above.
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Concepts Used:
Lenz’s law
Lenz’s law states that the induced electromotive force with different polarities induces a current whose magnetic field opposes the change in magnetic flux through the loop in order to ensure that original flux is maintained through the loop when current flows in it.
It depends on the principle of conservation of energy and Newton’s third law. To determine the direction of the induced current is most convenient method . Induced current states that he direction of an induced current is always such as to oppose the change in the circuit or the magnetic field that produces it.
Lenz’s Law Formula
The Lenz’s Law is reflected in the formula of Faraday’s law. Here the negative sign is contributed from Lenz’s law. The expression is –
Where,
