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Chapter 23: Q19PE (page 860)

At what speed must the sliding rod in Figure 23.11move to produce an emf of 1.00 Vin a 1.50 Tfield, given the rod鈥檚 length is 30.0 cm?

Short Answer

Expert verified

The obtained speed is: 2.22 m/s.

Step by step solution

01

Given Data

Length of rod is 30.0 cm.

Induced emf is 1.00 V

magnetic field is 1.50 T

02

Define Electromagnetic Induction

The phenomenon in which there is a induction of electromotive force in the coil, either due to the motion of conductor in external magnetic field or due to the motion of magnet near a coil, is termed as Electromotive force. The induced emf exists only till the magnetic field keeps changing for the coil.

03

Evaluating the speed

The induced emf for this case has the equation,

蔚=BLv鈥︹赌︹赌︹赌︹赌︹赌︹赌︹赌�(1)

Then, the equation (1) can be rearranged for speed will be:

v=蔚BL鈥︹赌︹赌︹赌︹赌︹赌︹赌︹赌�(2)

Substituting the given values in equation (2), we get:

v=1.0V1.5T脳0.3m

Therefore, the speed is: 2.22 m/s .

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