Please explain why is it the correct answer for #18,20,21,31,32,9 and 13? Formul

Question

Please explain why is it the correct answer for #18,20,21,31,32,9 and 13? Formula or a brief explaination to each will be much appreciated!

18. When a magnet is plunged into a coil at speed v, a voltage is induced in the coil and a current flows in the circuit. If the speed of the magnet is doubled, the induced voltage is unchanged b) doubled c. halved d. quadrupled e. cut by one fourth 19. In the figure below, which way does the magnetic field point in the solenoid on the right? from left to right b, from right to left c. no magnetic field exits because nothing is changing at 2 20. In the figure below, the solenoid on the right is wrapped around a non-magnetic material and moved as indicated. In which direction does the current flow through the resistor R in the circuit on the left? From a to b b.) From b to a c. Current is not induced in resistor R move

Explanation / Answer

18- current is the ratio of charge per unit time (i=q/t) if the speed of the magnet is doubled, then the current will also double according to the following relation v=rw, v= 2(pie)r/t, t= 2 (pie)r/v since we get

I=qv/2 (pie)r current is directly proportional to the speed , since v=iR; if the value of the resistance is constant , the induced voltage must also be doubled, hence if the speed of magnet is doubled the induced voltage also doubles.

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