An experimental apparatus has two parallel horizontal metal rails separated by 1.0 m. a 3.0 ω resistor is connected from the left end of one rail to the left end of the other. a metal axle with metal wheels is pulled toward the right along the rails at a speed of 35 m/s . earth's uniform 5.0 × 10−5-t field points down at an angle of 53∘ below the horizontal.
(a) determine the induced current.
(b) determine the power dissipated through the resistor.

The induced current and the power dissipated through the resistor are 0.5 mA and .

Explanation:

Given that,

Distance = 1.0 m

Resistance = 3.0 Ω

Speed = 35 m/s

Angle = 53°

Magnetic field

(a). We need to calculate the induced emf

Using formula of emf

Where, B = magnetic field

l = length

v = velocity

Put the value into the formula

We need to calculate the induced current

Put the value into the formula

(b). We need to calculate the power dissipated through the resistor

Using formula of power

Put the value into the formula

Hence, The induced current and the power dissipated through the resistor are 0.5 mA and .

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