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2) Three identical resistors, when connected in series, transform electrical ene

ID: 585521 • Letter: 2

Question

2) Three identical resistors, when connected in series, transform electrical energy into thermal energy at a rate of 12 W (4.0 W per resistor).Determine the power consumed by the resistors when connected in parallel to the same potential difference.
3) A metal rod is connected to a battery through two stiff metal wires that hold the rod horizontally. The rod is between the poles of a horseshoe magnet that is sitting on a mass-measuring platform scale, which reads 100
g. After you turned on the current in the circuit, the scale supporting the magnet read 106 g. The rod is 7.4 cm long and the current through it is 1.0 A.Find the magnitude of the magnetic field.
4)An electron moves at speed 8.0
× 106 m/s toward the right between two parallel plates, such as shown in(Figure 1) . A 0.14-T magnetic field points into the paper parallel to the plate surfaces.
4a) Determine the magnitude of the magnetic force that the magnetic field exerts on the electron.
4b) What should be the magnitude of an
E field caused by oppositely charged plates to produce an electric force that just balances the magnetic force?

Explanation / Answer

solving 2nd question

Let each resistor is R ohm

when in series

equivalent resistance=3R

let total voltage is V

total power=V^2/3R=12

R=V^2/36

now considering parallel combination

equivalent resistance=R/3

total power=V^2/(R/3)=3V^2/R

putting R=V^2/36

we got total power=108 W

power consumed by each resistor=36 W

total power consumed=108 W

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