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A rectangular metallic loop is moving out of a uniform magnetic field region to a field free region with a constant speed. When the loop is partially inside the magnate field, the plot of magnitude of induced emf $(\varepsilon)$ with time $(t)$ is given by
Regarding self-inductance:
A. The self-inductance of the coil depends on its geometry.
B. Self-inductance does not depend on the permeability of the medium.
C. Self-induced e.m.f. opposes any change in the current in a circuit.
D. Self-inductance is electromagnetic analogue of mass in mechanics.
E. Work needs to be done against self-induced e.m.f. in establishing the current.
Choose the correct answer from the options given below:
A uniform magnetic field of 0.4 T acts perpendicular to a circular copper disc 20 cm in radius. The disc is having a uniform angular velocity of 10 $ \pi $ rad s-1 about an axis through its centre and perpendicular to the disc. What is the potential difference developed between the axis of the disc and the rim? $(\pi=3.14)$
Consider I1 and I2 are the currents flowing simultaneously in two nearby coils 1 & 2, respectively. If L1 = self inductance of coil 1, M12 = mutual inductance of coil 1 with respect to coil 2, then the value of induced emf in coil 1 will be :
A coil of area A and N turns is rotating with angular velocity $\omega$ in a uniform magnetic field $\vec{B}$ about an axis perpendicular to $\vec{B}$. Magnetic flux $\varphi$ and induced emf $\varepsilon$ across it, at an instant when $\vec{B}$ is parallel to the plane of coil, are :
In the given circuit the sliding contact is pulled outwards such that electric current in the circuit changes at the rate of $8 \mathrm{~A} / \mathrm{s}$. At an instant when R is $12 \Omega$, the value of the current in the circuit will be ________ A.
A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the page. The bar starts to move from the vertex at time t = 0 with a constant velocity. If the induced EMF is E ∝ tn, then value of n is _________.
Conductor wire ABCDE with each arm 10 cm in length is placed in magnetic field of $\frac{1}{\sqrt{2}}$ Tesla, perpendicular to its plane. When conductor is pulled towards right with constant velocity of $10 \mathrm{~cm} / \mathrm{s}$, induced emf between points A and E is ________ mV .
A rectangular loop of length 2.5m and width 2m is placed at 60∘ to a magnetic field of 4T. The loop is removed from the field in 10 sec. The average emf induced in the loop during this time is
[27-Jan-2024 Shift 1]
Two coils have mutual inductance 0.002H. The current changes in the first coil according to the relation i = i0sin ωt, where i0 = 5A and ω = 50π rad∕ s. The maximum value of emf in the second coil is π/α V. The value of α is____
A square loop of side 10cm and resistance 0.7Ω is placed vertically in east-west plane. A uniform magnetic field of 0.20T is set up across the plane in north east direction. The magnetic field is decreased to zero in 1 s at a steady rate. Then, magnitude of induced emf is √x × 10−3V. The value of x is___
[29-Jan-2024 Shift 1]
A horizontal straight wire 5m long extending from east to west falling freely at right angle to horizontal component of earth's magnetic field 0.60 × 10−4Wbm−2. The instantaneous value of emf induced in the wire when its velocity is 10ms−1 is ______× 10−3V
[29-Jan-2024 Shift 2]
Two insulated circular loop A and B radius ' a ' carrying a current of ' I ' in the anti clockwise direction as shown in figure. The magnitude of the magnetic induction at the centre will be :
[30-Jan-2024 Shift 1]
A small square loop of wire of side ℓ is placed inside a large square loop of wire of side L (L = ℓ2). The loops are coplanar and their centers coinside. The value of the mutual inductance of the system is √x × 10−7 H, where x =____
[31-Jan-2024 Shift 1]
The magnetic flux φ (in weber) linked with a closed circuit of resistance 8Ω varies with time (in seconds) as φ = 5t2 − 36t + 1. The induced current in the circuit at t = 2 s is _____A.
[31-Jan-2024 Shift 2]
A rectangular loop of sides 12cm and 5cm, with its sides parallel to the x-axis and y-axis respectively moves with a velocity of 5cm∕ s in the positive x axis direction, in a space containing a variable magnetic field in the positive z direction. The field has a gradient of 10−3T∕cm along the negative x direction and it is decreasing with time at the rate of 10−3T∕ s. If the resistance of the loop is 6mΩ, the power dissipated by the loop as heat is _____× 10−9W.
[1-Feb-2024 Shift 1]
A coil of 200 turns and area 0.20m2 is rotated at half a revolution per second and is placed in uniform magnetic field of 0.01T perpendicular to axis of rotation of the coil. The maximum voltage generated in the coil is 2π/β volt. The value of β is____ .
[1-Feb-2024 Shift 2]