Question

A circular loop in the plane of the paper lies in a 0.75 T magnetic field...

A circular loop in the plane of the paper lies in a 0.75 T magnetic field pointing into the paper. The loop’s diameter is changed from 20.0 cm to 6.0 cm in 0.50 s.

Determine the direction of the induced current and justify your answer.

Determine the magnitude of the average induced emf.

If the coil resistance is 2.5 Ω, what is the average induced current?

Homework Answers

Answer #1

Giveb,

B = 0.75 T ; d1 = 20 cm = 0.2 m ; d2 = 6 cm = 0.06 m ; t = 0.5 s

We know that,

= -d/dt = -B (A2 - A1)/t

A1 = 0.0314 m^2 ; A2 = 0.002826 m^2

  = - 0.75 ( 0.002826 - 0.0314)/0.5 = 0.043 V

Hence, = 0.043 V = 43 mV.

We know from Ohm's law,

V = IR => I = V/R = 0.043/2.5 = 0.0172 A

Hence, I = 0.0172 A = 17.2 mA

Current will be counterclockwise.

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 circular loop in the plane of a paper lies in a 0.75 TT magnetic field...
A circular loop in the plane of a paper lies in a 0.75 TT magnetic field pointing into the paper. The loop's diameter changes from 20.5 cmcm to 6.4 cmcm in 0.46 ss . What is the magnitude of the average induced emf? What is the average induced current if the coil resistance is 4.3 Ω?
A circular loop in the plane of the paper lies in a 0.65 T magnetic field...
A circular loop in the plane of the paper lies in a 0.65 T magnetic field pointing into the paper. If the loop's diameter changes from 19.4 cm to 7.2 cm in 0.15 s , what is the direction of the induced current? What is the magnitude of the average induced emf? If the coil resistance is 3.3 ? , what is the average induced current?
A circular loop in the plane of the paper lies in a 0.78 T magnetic field...
A circular loop in the plane of the paper lies in a 0.78 T magnetic field pointing into the paper. A) What is the magnitude of the average induced emf? Answer in V. B) If the coil resistance is 4.3 ohm , what is the average induced current? Answer in A
A circular loop in the plane of the paper lies in a 0.76 T magnetic field...
A circular loop in the plane of the paper lies in a 0.76 T magnetic field pointing into the paper. If the loop's diameter changes from 20.2 cm to 9.6 cm in 0.56 s. What is the direction of the induced current? What is the magnitude of the average induced emf?
A circular loop in the plane of the paper lies in a 0.38 T magnetic field...
A circular loop in the plane of the paper lies in a 0.38 T magnetic field pointing into the paper. Part A: If the loop's diameter changes from 19.4 cm to 5.8 cm in 0.49 s , what is the direction of the induced current? Part B: What is the magnitude of the average induced emf?
A circular loop with 50 coils is pulled (to the right) from an external magnetic field...
A circular loop with 50 coils is pulled (to the right) from an external magnetic field of 0.8 T into the page. At t=0 the right edge of the loop is at the right edge of the magnetic field. After 0.250 seconds the loop has moved completely out of the magnetic field. Diameter of the coil is 10 cm Find the rate of change in flux through one loop as the loop if the loop is pulled out of the...
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...
In an electromagnetic induction experiment, you are keeping a conducting circular loop of 50 cm radius...
In an electromagnetic induction experiment, you are keeping a conducting circular loop of 50 cm radius placed perpendicular to a magnetic field of 5 T and magnetic field changed from maximum to zero within 0.50 s. Is law of electromagnetic induction applied here? Justify your answer. How can you evaluate the magnitude of induced emf in the coil? When the circular coil having a diameter of 20 cm is used in above case, evaluate the induced emf? Compare your results...
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 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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT