help with this. A long solenoid of length 1.0 m and number of turns 2000, is con

Question

help with this.

A long solenoid of length 1.0 m and number of turns 2000, is connected to an ac generator with an amplitude of 10.0 V and operating at 100 Hz. The resistance of the solenoid wire is 10.0 ohm. The diameter of the solenoid is 5.0 cm. A small 100 turn coil of diameter 1.0 cm is placed inside the solenoid, near the center of the solenoid, with its axis parallel to that of the solenoid. The coil resistance is 5.0 ohm. Find the magnetic field inside the solenoid as a function of time. Find the magnetic flux through the coil as a function of time. Find the induced voltage in the coil as a function of time Find the current in the coil as a function of time Plot all the above quantities, covering two cycles on the time axis.

Explanation / Answer

current i due to coil at thne centre of soloniid is = V/R = 10/5 = 2 A total magnetic field = magnetic field due to solonoid + B due t0 coil B= u0Ni/L + U0Ni?l B = 4pi* 2000*1*10^-7/1 + 4 pi *10^-7 *100* 2/ 1 B= 0.002512+ 0.0002512 =2.762 mT

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