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qUESTIONS

Example 12.5: Derive an expression for the self-inductance of a toroid of circular cross- section of radius r and major radius R. Calculate the self inductance (L) of toroid for major radius (R) = 15 cm, cross-section of toroid having radius (r) = 2 cm and the number of turns (N) = 1200

Example 12.6: Consider a uniformly wound solenoid having N turns and length 4. The core of the solenoid is air. Find the inductance of the solenoid of N = 200, l = 20 cm and cross-sectional area, A = 5 cm^2 Calculate the induced emf e_{L} if the current flowing through the solenoid decreases at a rate of 60 A/s.

Example 12.7: The self-inductance of a closely wound coil of 200 turns is 10 mH. Determine the value of magnetic flux through the cross-section of the coil when the current passing through the coil is 4 mA.

Example 12.8: Calculate the self-inductance of a coaxial cable of length l and carrying a current I. The current flows down the inner cylinder with radius a, and flows out of the outer cylinder with radius b.

Example 12.9: Mutual inductance of the wireless charging system.

Example12.10: Two coils having self inductances L1= 75 mH and L2 = 55 mH are coupled with each other. The coefficient of coupling (K) is 0.75 calculate the mutual inductance (M) of the two coils.

Example 12.11: The mutual inductance (M) of the two coils is given as 1.5 H. The self inductances of the coils are : L1= 5 H, L2 = 4 H. Find the coefficient of coupling between the coils.

Example -A horizontal wire 20 m long extending from east to west is falling with a velocity of 10 m/s normal to the Earth’s magnetic field of 0.5 * 10 ^ – 4 T. What is the value of induced emf in the wire?

Example- In a Faraday disc dynamo, a metal disc of radius R rotates with an angular velocity w about an axis perpendicular to the plane of the disc and passing through its centre. The disc is placed in a magnetic field B acting perpendicular to the plane of the disc. Determine the induced emf between the rim and the axis of the disc.

Textbook-Solutions-12th-MH

The susceptibility of a paramagnetic material is χ at 27° C. At what temperature its susceptibility be χ/3?

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