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Asseration: Time dependent magnetic fiel...

Asseration: Time dependent magnetic field generates electric field.
Reason: Direction of electric field generated from time variable magnetic field does not obey Lenz's law.

A

(a) Statement I is True, Staatement II is True, Statement II is correct expaination for Statement I.

B

(b) Statement I is True, Staatement II is True, Statement II is NOT a correct expaination for Statement I.

C

( c) statement I is True, Satement II is false.

D

( d) statement I is False, Satement II is True.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we will analyze the assertion and reason step by step. ### Step 1: Analyze the Assertion The assertion states that "Time dependent magnetic field generates electric field." This is a fundamental principle of electromagnetic induction. According to Faraday's law of electromagnetic induction, a changing magnetic field (time-dependent) induces an electromotive force (EMF) in a closed loop. **Mathematical Representation:** - The magnetic flux (Φ) through a surface is given by: \[ \Phi = B \cdot A \] where \(B\) is the magnetic field and \(A\) is the area. - If the magnetic field is time-dependent, the change in magnetic flux can be expressed as: \[ d\Phi = \frac{dB}{dt} \cdot A \] - The induced EMF (ε) is given by: \[ \epsilon = -N \frac{d\Phi}{dt} = -N \frac{dB}{dt} \cdot A \] where \(N\) is the number of turns in the coil. Thus, the assertion is **true**. ### Step 2: Analyze the Reason The reason states that "The direction of electric field generated from time variable magnetic field does not obey Lenz's law." Lenz's law states that the direction of induced current (and hence the electric field) will be such that it opposes the change in magnetic flux that produced it. - According to Lenz's law, if the magnetic field is increasing, the induced electric field will create a current that generates a magnetic field opposing the increase. Conversely, if the magnetic field is decreasing, the induced electric field will generate a current that attempts to maintain the magnetic field. Thus, the reason is **false** because the electric field generated from a time-varying magnetic field does obey Lenz's law. ### Conclusion - The assertion is true. - The reason is false. Therefore, the correct option is that the assertion is true, and the reason is false. ### Final Answer The correct option is **C**: Assertion is true, Reason is false. ---

To solve the given question, we will analyze the assertion and reason step by step. ### Step 1: Analyze the Assertion The assertion states that "Time dependent magnetic field generates electric field." This is a fundamental principle of electromagnetic induction. According to Faraday's law of electromagnetic induction, a changing magnetic field (time-dependent) induces an electromotive force (EMF) in a closed loop. **Mathematical Representation:** - The magnetic flux (Φ) through a surface is given by: \[ ...
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