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Chapter 23: Q20PE (page 860)

The 12.0 cm long rod in Figure 23.11moves at 4.00 m/s. What is the strength of the magnetic field if a 95.0 Vemf is induced?

Short Answer

Expert verified

The field strength is 198 T.

Step by step solution

01

Given Data

Length of rod (L) is 12.0 cm .

Induced emf (ε) is 95.0 V

Velocity of rod (v) is 4.00 m/s

02

Define Electromagnetic Induction

The induction of an electromotive force across an electrical conductor when placed in an ever-changing magnetic field is known as electromagnetic or magnetic induction. Induction was first discovered in 1831by Michael Faraday.

03

Evaluating the strength of the magnetic field

The induced emf for this case has the equation,

ε=BLv……………………(1)

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

B=εvL……………………(2)

Applying the numerical values, we get:

B=95V0.12m×4m/s=198T

Therefore, the strength of the field is: 198 T .

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Most popular questions from this chapter

A motor operating on 240 V electricity has a 180 V back emf at operating speed and draws a 12.0 A current. (a) What is its resistance? (b) What current does it draw when it is first started?

An RLC series circuit has a \(2.50\;\Omega \) resistor, a \(100\;\mu H\) inductor, and an \(80.0\;\mu F\) capacitor. (a) Find the power factor at \(f = 120\;Hz\). (b) What is the phase angle at \(120\;Hz\)? (c) What is the average power at \(120\;Hz\)? (d) Find the average power at the circuit's resonant frequency.

(a) A nonferrous screwdriver is being used in a 2.00 Tmagnetic field. What maximum emf can be induced along its 12.0 cmlength when it moves at 6.00 m/s? (b) Is it likely that this emf will have any consequences or even be noticed?

A short circuit to the grounded metal case of an appliance occurs as shown in Figure \({\rm{23}}{\rm{.60}}\). The person touching the case is wet and only has a \({\rm{3}}{\rm{.00 k\Omega }}\) resistance to earth/ground.

(a) What is the voltage on the case if \({\rm{5}}{\rm{.00 mA}}\) flows through the person?

(b) What is the current in the short circuit if the resistance of the earth/ground wire is \({\rm{0}}{\rm{.200 \Omega }}\)?

(c) Will this trigger the \({\rm{20}}{\rm{.0 A}}\) circuit breaker supplying the appliance?

Use Faraday’s law, Lenz’s law, and RHR-1to show that the magnetic force on the current in the moving rod in Figure 23.11is in the opposite direction of its velocity.
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