Question

9. A magnetic field is perpendicular to the plane of a single-turn circular coil. The magnitude...

9. A magnetic field is perpendicular to the plane of a single-turn circular coil. The magnitude of the field is changing, so that an emf of 0.77 V and a current of 2.7 A are induced in the coil. The wire is then re-formed into a single-turn square coil, which is used in the same magnetic field (again perpendicular to the plane of the coil and with a magnitude changing at the same rate). What emf is induced in the square coil?
V

Homework Answers

Answer #1

Solution:-

Since V = 0.77V and I = 2.7A the resistance is V/I = 0.77/2.7 = 0.285Ω

The induced emf = dB/dt *A therefore dB/dt = Emf/A

Since dB/dt is constant then Emf/A(circle) = Emf/A square

So Emf (square)/Emf (circle) = A square / A circle

Area of a circle = π*r^2

The circumference is 2πr

The perimeter of the square is 2πr which makes each side πr/2 This means the area of the square is π^2*r^2/4

So A square/Acircle = π^2*r^2/4/ π*r^2 = π/4 = 0.785

So Emf square = Emf circle *0.785 = 0.77*0.785 = 0.604V

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 magnetic field is perpendicular to the plane of a single-turn circular coil. The magnitude of...
A magnetic field is perpendicular to the plane of a single-turn circular coil. The magnitude of the field is changing, so that an emf of 0.23 V and a current of 2.4 A are induced in the coil. The wire is then re-formed into a single-turn square coil, which is used in the same magnetic field (again perpendicular to the plane of the coil and with a magnitude changing at the same rate). What (a) emf and (b) current are...
A five-turn circular wire coil of radius 0.425 m lies in a plane perpendicular to a...
A five-turn circular wire coil of radius 0.425 m lies in a plane perpendicular to a uniform magnetic field of magnitude 0.370 T. If the wire is reshaped from a five-turn circle to a three-turn circle in 0.101 s (while remaining in the same plane), what is the average induced emf in the wire during this time?
A 37-turn circular coil of radius 4.60 cm and resistance 1.00 Ω is placed in a magnetic field directed perpendicular to...
A 37-turn circular coil of radius 4.60 cm and resistance 1.00 Ω is placed in a magnetic field directed perpendicular to the plane of the coil. The magnitude of the magnetic field varies in time according to the expression B = 0.010 0t + 0.040 0t2, where B is in teslas and t is in seconds. Calculate the induced emf in the coil at t = 4.20 s.
A 149-turn circular coil of radius 2.67 cm is immersed in a uniform magnetic field that...
A 149-turn circular coil of radius 2.67 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. During 0.153 s the magnetic field strength increases from 51.1 mT to 99.3 mT. Find the magnitude of the average EMF, in millivolts, that is induced in the coil during this time interval.
A square loop of wire consisting of a single turn is perpendicular to a uniform magnetic...
A square loop of wire consisting of a single turn is perpendicular to a uniform magnetic field. The square loop is then re-formed into a circular loop, which also consists of a single turn and is also perpendicular to the same magnetic field. The magnetic flux that passes through the square loop is 5.15 × 10-3 Wb. What is the flux that passes through the circular loop?
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.
A 133 turn circular coil of radius 2.77 cm is immersed in a uniform magnetic field...
A 133 turn circular coil of radius 2.77 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. Over an interval of 0.121 s, the magnetic field strength increases from 55.7 mT to 95.9 mT. Find the magnitude of the average emf avgEavg induced in the coil during this time interval, in millivolts. avg=Eavg= ?
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.
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...
2. A circular coil with 30 turns of wire has a diameter of 2.00 cm. The...
2. A circular coil with 30 turns of wire has a diameter of 2.00 cm. The total resistance of the coil is 0.350 Ω. An applied uniform magnetic field is directed upward, perpendicular to the plane of the coil. a) If the magnetic field changes linearly from 0.000 T to 0.800 T in 0.500 s, what is the induced emf in the coil while the field is changing? b) What is the magnitude and direction (CW or CCW when looked...