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a)Assume that there is a long ideal solenoid with 120 turns/cm. It carries a current i=...

a)Assume that there is a long ideal solenoid with 120 turns/cm. It carries a current i= 2 A and it has a diameter 2 cm and a length 5 m. Find the uniform magnetic field inside the solenoid.

b) Insert a single circular coil at the center of the long ideal solenoid that is mentioned at part (a). Solenoid and coil are coaxial. Coil has diameter 0.5 cm. Now the current in the solenoid decreases steadily from 2 A to 0.9 A in a time interval 20 ms. Find the magnitude of emf induced in the coil while the current is changing?

c) Now, construct an RL circuit using an ideal battery that has potential difference 5 V, one resistor with R = 2 Ω and the solenoid that has same shape with one mentioned at part (a). Find the current through the battery at 2 ms? (Hint: First calculate the inductance)

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