Question:
A coil of n turns and resistance $R \Omega$ is connected in series with resistance $R/4$. The combination is moved for time t second through magnetic flux $\phi_1$ to $\phi_2$. The induced current in the circuit is
A coil of n turns and resistance $R \Omega$ is connected in series with resistance $R/4$. The combination is moved for time t second through magnetic flux $\phi_1$ to $\phi_2$. The induced current in the circuit is
Show Hint
Induced current depends on the total resistance of the closed loop, including external resistors.
Updated On: Apr 30, 2026
- $\frac{2n(\phi_1 - \phi_2)}{5Rt}$
- $\frac{4n(\phi_1 - \phi_2)}{5Rt}$
- $\frac{3n(\phi_1 - \phi_2)}{4Rt}$
- $\frac{5n(\phi_1 - \phi_2)}{3Rt}$
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Induced EMF
$e = n \frac{d\phi}{dt} = n \frac{(\phi_1 - \phi_2)}{t}$
Step 2: Total Resistance
$R_{total} = R + \frac{R}{4} = \frac{5R}{4}$
Step 3: Induced Current
$I = \frac{e}{R_{total}} = \frac{n(\phi_1 - \phi_2)}{t} \div \frac{5R}{4}$
$I = \frac{4n(\phi_1 - \phi_2)}{5Rt}$
Step 4: Conclusion
The induced current is $\frac{4n(\phi_1 - \phi_2)}{5Rt}$.
Final Answer:(B)
$e = n \frac{d\phi}{dt} = n \frac{(\phi_1 - \phi_2)}{t}$
Step 2: Total Resistance
$R_{total} = R + \frac{R}{4} = \frac{5R}{4}$
Step 3: Induced Current
$I = \frac{e}{R_{total}} = \frac{n(\phi_1 - \phi_2)}{t} \div \frac{5R}{4}$
$I = \frac{4n(\phi_1 - \phi_2)}{5Rt}$
Step 4: Conclusion
The induced current is $\frac{4n(\phi_1 - \phi_2)}{5Rt}$.
Final Answer:(B)
Was this answer helpful?
0
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET Rotational Mechanics Questions
- A thin uniform rod of length 'L' and mass 'M' is bent at the middle point 'O' at an angle of 45° as shown in the figure. The moment of inertia of the system about an axis passing through 'O' and perpendicular to the plane of the bent rod, is
- A thin circular ring of mass \( M \) and radius \( R \) is rotating about a transverse axis passing through its centre with constant angular velocity \( \omega \). Two objects each of mass \( m \) are attached gently to the opposite ends of a diameter of the ring. What is the new angular velocity?
- A solid sphere of mass \( M \) and radius \( R \) has moment of inertia \( I \) about its diameter. It is recast into a disc of thickness \( t \) whose moment of inertia about an axis passing through its edge and perpendicular to its plane, remains \( I \). Radius of the disc will be
- Two rings of same mass \( M \) and radius \( R \) are so placed that their centre is common and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to any one ring is
- A torque of 50 Nm acts on a body for 8 seconds which is initially at rest. The change in its angular momentum is
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions