1. A wire of length 1.0m moves with a speed of 10m/s perpendicular to a magnetic field. If the emf induced in the wire is 1.0V, the magnitude of the magnetic field is
Question
- A wire of length 1.0m moves with a speed of 10m/s perpendicular to a magnetic field. If the emf induced in the wire is 1.0V, the magnitude of the magnetic field is
Solution
The magnitude of the magnetic field can be found using Faraday's law of electromagnetic induction, which states that the induced emf in a circuit is equal to the rate of change of magnetic flux through the circuit.
In this case, the wire is moving perpendicular to the magnetic field, so the area swept out by the wire is changing. The magnetic flux through the wire is given by the product of the magnetic field strength (B), the length of the wire (l), and the perpendicular distance the wire has moved (d).
The rate of change of this flux is then B * l * (d/dt), where d/dt is the speed of the wire.
Setting this equal to the induced emf and solving for B gives:
B = emf / (l * d/dt)
Substituting the given values:
B = 1.0 V / (1.0 m * 10 m/s) = 0.1 T
So the magnitude of the magnetic field is 0.1 Tesla.
Similar Questions
A square loop of side 10 cm and resistance 0.7Ω is placed vertically in east-west plane. A uniform magnetic field of 0.20 T is set up across the plane in north east direction. The magnetic field is decreased to zero in 1 s at a steady rate. Then, magnitude of induced emf is x√×10−3 V. The value of x is _____
A circular loop of wire of radius 14 cm is placed in a magnetic field directed perpendicular to the plane of the loop as shown in the figure below. If the field decreases at the rate of 59 mT/s in some time interval, find the magnitude of the emf induced in the loop during this interval.(units of V)
A 2cm diameter ring is moved out of uniform magnetic field of 10T in 0.1s. What is magnitude of induce emf in the ring if normal to ring is parallel to magnetic field at all the time?
A conducting loop of radius 10π√cm is placed perpendicular to a uniform magnetic field of 0.5T. The magnetic field is decreased to zero in 0.5s at a steady rate. The induced emf in the circular loop at 0.25s is:
The loop in the image is moving through the magnetic field, of strength 0.700 T, at a speed of 27.0 m/s. If the resistance in the loop is 1.10 Ω and the width of the wire is x = 9.00 cm, what is the magnitude and direction of the induced current?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.