Question

Using Faraday’s Law equation, answer the following mathematical questions. A plane circular loop of conducting wire...

Using Faraday’s Law equation, answer the following mathematical questions.

A plane circular loop of conducting wire has a radius r = 8m and N = 4 turns. It is located in a uniform magnetic field. The magnetic field’s direction makes a 75° angle with respect to the normal of the loop. The magnitude of magnetic field B increases at a constant rate from B1 = 3.2 T to B2 = 4.7 T in a time interval of t =5s. If the resistance of the loop is R = 12.5 W, how much current flows around the loop as the magnetic field is increased?

What is the area of the loop?

What is the component of the magnetic field perpendicular to the loop?

What is the initial magnetic flux of the loop?

What is the final flux of the loop?

What is the time rate of change of the flux?

What is the emf generated around the loop?

Using your previous knowledge of Ohm’s Law, what is the current that flows around the loop in response to the EMF?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A two-turn circular wire loop of radius 0.737 m lies in a plane perpendicular to a...
A two-turn circular wire loop of radius 0.737 m lies in a plane perpendicular to a uniform magnetic field of magnitude 0.591 T. If the entire wire is reshaped from a twoturn circle to a one-turn circle in 0.116 s (while remaining in the same plane), what is the magnitude of the average induced emf E in the wire during this time? Use Faraday’s law in the form E = − ∆(N Φ) ∆t . Answer in units of V.
Which of the following is/are TRUE? a. Faraday’s law of electromagnetic induction states that the induced...
Which of the following is/are TRUE? a. Faraday’s law of electromagnetic induction states that the induced emf or current in a circuit is directly proportional to the time rate of change of the magnetic flux in the circuit b. There is induced emf or current in a circuit of the magnetic field in the circuit is very high c. There is induced emf or current in a circuit if the area of the circuit is not too big d. There...
A circular loop of wire of radius R lies in the xy-plane, where a time-varying, radially...
A circular loop of wire of radius R lies in the xy-plane, where a time-varying, radially symmetric magnetic field of magnitude B = k r t3  (in SI units) points in the positive z-direction. Here, t is time, r is the distance from the centre of the loop, and k is a positive constant. (i)   What must be the SI units of k ?    (ii) Calculate the magnetic flux Φm through the loop as a function of time t.   ...
A circular loop of wire of area 0.25?2 lies in the x-y plane with its center...
A circular loop of wire of area 0.25?2 lies in the x-y plane with its center at the origin. A uniform magnetic field of 2.00 T points in the positive z-direction. The loop begins to rotate at t = 0s at the rate of 60 rpm. a. What is the flux through the loop as a function of time? b. What is the emf in the loop as a function of time? c. If the loop has a resistance of...
A time-varying magnetic field is perpendicular to the plane of a circular loop of diameter 10...
A time-varying magnetic field is perpendicular to the plane of a circular loop of diameter 10 cm made with wire of diameter 3.4 mm and resistivity 2.07 × 10-8?·m. The magnetic field increases as a function of time, with magnitude B = (0.79 t) T/s a) What is the magnitude of the emf induced in the loop? b) What is the value of the current through the loop? c) At what rate does energy appear as thermal energy in the...
6: A single-turn circular loop of wire rests flat on this page. A magnetic field is...
6: A single-turn circular loop of wire rests flat on this page. A magnetic field is directed perpendicular to this page pointing outwards (towards you). When the magnetic field strength increases from 3.2 T to 6.5 T in 0.026 seconds, a 1 V emf is induced in the coil. a) Calculate the radius of the loop. b) State the direction of the induced current and briefly explain how you arrived at your answer.
Inducing Voltage and Current A circular conducting loop of radius 21.0 cm is located in a...
Inducing Voltage and Current A circular conducting loop of radius 21.0 cm is located in a region of homogeneous magnetic field of magnitude 0.900 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 137 Ω. The magnetic field is now increased at a constant rate by a factor of 2.60 in 13.0s. Calculate the magnitude of the induced emf in the loop while the magnetic field is increasing. Calculate the...
The magnetic field perpendicular to a circular wire loop 8.0cm in diameter is changed from 0.70T...
The magnetic field perpendicular to a circular wire loop 8.0cm in diameter is changed from 0.70T toward the observer to 0.34T away from you in 160 milliSeconds. Q1. Calculate the magnitude of the induced EMF (during the change in B ) and determine what direction will the induced current flow during the change in B?   Will it be CW or CCW as you see it? a) The initial Flux is: b) The final Flux is: c) The induced EMF is:...
A circular conducting loop of radius 31.0 cm is located in a region of homogeneous magnetic...
A circular conducting loop of radius 31.0 cm is located in a region of homogeneous magnetic field of magnitude 0.300 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 109 Ω. The magnetic field is now increased at a constant rate by a factor of 2.40 in 15.0s. 1) Calculate the magnitude of the induced emf in the loop while the magnetic field is increasing. 2) Calculate the magnitude of...
A circular conducting loop of radius 13.0 cm is located in a region of homogeneous magnetic...
A circular conducting loop of radius 13.0 cm is located in a region of homogeneous magnetic field of magnitude 0.300 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 285 Ω. The magnetic field is now increased at a constant rate by a factor of 2.40 in 23.0s. Calculate the magnitude of the induced emf in the loop while the magnetic field is increasing. Calculate the magnitude of the current...