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A coil C of N turns is placed around a l...

A coil C of N turns is placed around a long solenoid S of radius R and n turns per unit length, as in Fig. 30-38.
(a) Show that the mutual inductance for the coil-solenoid combination is given by `M = μ_(0)piR^(2)nN`.
(b) Explain why M does not depend on the shape, size, or possible lack of close packing of the coil.

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RESNICK AND HALLIDAY-ELECTROMAGNETIC INDUCTION-PROBLEMS
  1. Coil 1 has L(1) = 25 mH and N(1) = 100 turns. Coil 2, has L(2)= 40 mH ...

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  2. The conducting rod shown in Fig. 30-37 has length Land is being pulled...

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  3. A coil C of N turns is placed around a long solenoid S of radius R and...

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  4. If 50.0 cm of copper wire (diameter= 3.00 mm) is formed into a circula...

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  5. Figure 3.188 shows two parallel and coaxial loops. The smaller loop (r...

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  6. Suppose the emf of the battery, the circuit shown varies with time t s...

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  7. The magnetic field of a cylindrical magnet that has a poleface diamete...

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  8. At t = 0, a battery is connected to a series arrangement of a resistor...

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  9. A 12 H inductor carries a current of 2.0 A. At what rate must the curr...

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  10. A rectangular loop of N closely packed turns is positioned near a long...

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  11. In Fig. 30-41, E = 100 V, R(1) = 10.0 Omega, R(2) = 20.0 Omega , R(3) ...

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  12. A coil is connected in series with a 10.0 kOmega resistor. An ideal 50...

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  13. Two coils are at fixed locations. When coil 1 has no current and the c...

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  14. The switch in Fig. 30-28 is closed on a at time t = 0. What is the rat...

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  15. Two identical long wires of radius a = 0.530 mm are parallel and carry...

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  16. In Fig. 30-42, a wire forms a closed circular loop, of radius R = 0.32...

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  17. The current in an RL circuit drops from 2.30 A to 3.40 mA in 0.025 s f...

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  18. A coil with an inductance of 2.0 Hand a resistance of 10 Omega is sudd...

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  19. A length of copper wire carries a current of 3.5 A uniformly distribut...

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  20. Two straight conducting rails form a right angle where their ends are ...

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