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4. A given solenoid consists of 7250 turns of wire, has a diameter of 4.4 cm and is 23 cm long. a. What is the self inductance of this solenoid? b. Suppose that the current flowing through this solenoid is initially 12.5 Amperes and is decreasing at a rate of 22.0 Amperes/second. What will be the EMF generated across this coil as a result of this changing current? c. Suppose that this coil is surrounded by a second coil which has the exact same length as the first coil, consists of 87,000 turns and has a radius that is only slightly larger than the first coil. What will be the mutual inductance of these two coils? d. What will be the induced EMF in the secondary coil?

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N = 7250 turns 4.4cm r = = 2.2cm = 0.022m 23cm = 0.23m a) 47× 10-7 ×72503x π×0.0222 0.23 L=0,437 H b) dl dt 5--L-= 0.437x22 5-9.61% c) μ N,N,Tr2 4TX10-7x7250 × 87000 × π× 0.0222 23 M =524H d) 5--M-=5.24 × 22 5-115び dl dt

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