Relation between induced charge and change in magnetic flux

This will be a short article, so without talking too much let’s get started…

Relation between induced charge and change in magnetic flux

According to the faraday’s law, the induced EMF is given as $${\mathcal {E}}=\frac{\Delta \phi}{\Delta t}$$ If $R$ is the total resistance of the closed-loop, the induced current will be $$I=\frac{\mathcal {E}}{R} \quad or \quad \frac{\Delta q}{\Delta t} =\frac{\Delta \phi}{\Delta t}\cdot\frac{1}{R}$$ Hence, the charge induced in the loop in time $\Delta t$ is

Clearly, we can see the induced current depends on the net change in magnetic flux and does not depend on the time interval $\Delta t$ of the flux change. Thus, the induced charge does not depend on the rate of change of magnetic flux.

Read Also

• Motional EMF, and energy consideration class 12
• Motional EMF from Lorentz force class 12
• Fleming’s right-hand rule (for generators)
• Motional EMF from Faraday’s law | definition, formula derivation
• Lenz’s law – statement, formula, application, and experiments

2

Test your knowledge on "Relation between induced charge and change in magnetic flux" click start button to begin the quiz

Choose the correct option given below the question and check your score and answers at the end of the quiz.

1 / 5

1. According to Faraday's law of electromagnetic induction, induced EMF is given as

${\mathcal {E}}=2\frac{d\phi}{d t}$

${\mathcal {E}}=\frac{d \phi}{d t}$

${\mathcal {E}}=\frac{d \phi}{dt^2}$

None

2 / 5

2. Induced charge depends on the

change in magnetic force

change in electric field

change in magnetic field

change in magnetic flux

3 / 5

3. Charge induced in the loop increases, iff

change in flux increases

resistance increases

change in flux decreases

resistance decreases

4 / 5

4. charge induced in the loop in time $\Delta t$ is

$\frac{\Delta \phi}{R}$

$2\frac{\Delta \phi}{R}$

$\frac{\Delta \phi}{2R}$

None

5 / 5

5. Charge induced in the loop is inversely proportional to

Resistance

magnetic flux

induced EMF

Work done

Your score is

The average score is 80%

Share with your friends

LinkedIn Facebook Twitter VKontakte

0%

Restart quiz

Please rate this quiz!

Send feedback

Stay tuned with Laws Of Nature for more useful and interesting content.