If a current is passed through a circular loop of radius R then magnetic flux through a coplanar square loop of side l as shown in the figure (l<<R) is:

 

1. μ0l2R2l

2. μ0Il22R

3. μ0lπR22l

4. μ0πR2Il

Subtopic:  Magnetic Flux |
 82%
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The dimensions of inductance are:

1. [MLT-2A-2]
2. [ML2T-2A2]
3. [ML2T-2A-1]
4. [ML2T-2A-2]

Subtopic:  Self - Inductance |
 69%
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The radius of a loop as shown in the figure is \(10~\mathrm {cm}.\) If the magnetic field is uniform and has a value \(10^{-2}~ T,\) then the flux through the loop will be:
 

1. \(2 \pi \times 10^{-2}Wb\) 2. \(3 \pi \times 10^{-4}Wb\)
3. \(5 \pi \times 10^{-5}Wb\) 4. \(5 \pi \times 10^{-4}Wb\)
Subtopic:  Magnetic Flux |
 77%
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The net magnetic flux through any closed surface, kept in uniform magnetic field is:

1. Zero

2. μ04π

3. 4πμ0

4. 4μ0π

Subtopic:  Magnetic Flux |
 94%
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The magnetic flux linked with a coil varies with time as ϕ = 2t2-6t+5, where ϕ is in weber and t is in seconds. The induced current is zero at:

1. t = 0

2. t = 1.5 s

3. t = 3 s

4. t = 5 s

Subtopic:  Faraday's Law & Lenz Law |
 90%
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A short magnet is allowed to fall along the axis of a horizontal metallic ring. Starting from rest, the distance fallen by the magnet in one second may be:

1. 4 m

2. 5 m

3. 6 m

4. 7 m

Subtopic:  Motional emf |
 61%
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Eddy currents are used in:

1. Induction furnace

2. Electromagnetic brakes

3. Speedometers

4. All of these

Subtopic:  Eddy Current |
 94%
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The current through a choke coil increases from zero to 6 A in 0.3 seconds and an induced emf of 30 V is produced. The inductance of the coil is:

1. 5 H 2. 2.5 H
3. 1.5 H 4. 2 H
Subtopic:  Self - Inductance |
 89%
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Two coils have a mutual inductance of 5 mH. The current changes in the first coil according to the equation \(I=I_{0}cos\omega t,\) where \(I_{0}=10~A\) and ω = 100π rad/s. The maximum value of e.m.f. induced in the second coil is:

1. 5π Volt

2. 2π Volt

3. 4π Volt

4. π Volt

Subtopic:  Mutual Inductance |
 81%
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A small square loop of wire of side 'l' is placed inside a large square loop of side 'L' (Ll). If the loops are coplanar and their centres coincide, the mutual inductance of the system is directly proportional to:

1. L/l

2. l/L

3. L2/l

4. l2/L

Subtopic:  Mutual Inductance |
 72%
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