30. Induction and Inductance

Faraday's Law

30. Induction and Inductance

# Faraday's Law - Video Tutorials & Practice Problems

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concept

## Faraday's Law

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Problem

ProblemA tightly-wound 200-turn rectangular loop has dimensions of 40cm by 70cm. A constant magnetic field of 3.5T points in the same direction as the normal of the loop. If the dimensions of the loop change to 20cm by 35cm over 0.5s, with the number of turns remaining the same, what is the induced EMF on the rectangular loop?

A

48 V

B

97 V

C

294 V

D

588 V

E

0 V

3

example

## Current in a Circuit with a Changing Magnetic Field

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4

Problem

ProblemA square conducting wire of side length 4 cm is in a 2 T magnetic field. It rotates such that the angle of the magnetic field to the normal of the square increases from 30° to 60° in 2 s. What is the induced current on the wire if its resistance is 5 mΩ?

A

0.85 A

B

0.12 A

C

1.2 A

D

1.39 mA

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PRACTICE PROBLEMS AND ACTIVITIES (21)

- A long, straight solenoid with a cross-sectional area of 8.00 cm^2 is wound with 90 turns of wire per centimet...
- The magnetic field B at all points within the colored circle shown in Fig. E29.15 has an initial magnitude of ...
- The magnetic field B at all points within the colored circle shown in Fig. E29.15 has an initial magnitude of ...
- A long, thin solenoid has 400 turns per meter and radius 1.10 cm. The current in the solenoid is increasing at...
- A long, thin solenoid has 900 turns per meter and radius 2.50 cm. The current in the solenoid is increasing at...
- The magnetic field within a long, straight solenoid with a circular cross section and radius R is increasing a...
- The magnetic field within a long, straight solenoid with a circular cross section and radius R is increasing a...
- A metal ring 4.50 cm in diameter is placed between the north and south poles of large magnets with the plane o...
- The conducting rod ab shown in Fig. E29.29 makes contact with metal rails ca and db. The apparatus is in a uni...
- A flat, rectangular coil of dimensions l and w is pulled with uni-form speed v through a uniform magnetic fiel...
- The armature of a small generator consists of a flat, square coil with 120 turns and sides with a length of 1....
- A closely wound rectangular coil of 80 turns has dimen-sions of 25.0 cm by 40.0 cm. The plane of the coil is r...
- Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 165.0 cm, but its circum...
- Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 165.0 cm, but its circum...
- A single loop of wire with an area of 0.0900 m^2 is in a uniform magnetic field that has an initial value of 3...
- A single loop of wire with an area of 0.0900 m^2 is in a uniform magnetic field that has an initial value of 3...
- In a physics laboratory experiment, a coil with 200 turns enclosing an area of 12 cm^2 is rotated in 0.040 s f...
- The magnetic field B at all points within the colored circle shown in Fig. E29.15 has an initial magnitude of ...
- FIGURE EX30.13 shows a 10-cm-diameter loop in three different magnetic fields. The loop's resistance is 0.20 Ω...
- A 1000-turn coil of wire 1.0 cm in diameter is in a magnetic field that increases from 0.10 T to 0.30 T in 10 ...
- CALC A 5.0-cm-diameter coil has 20 turns and a resistance of 0.50 Ω. A magnetic field perpendicular to the coi...