18. A 300 turn circular loop of wire with diameter 12 cm is placed in a...
18. A 300 turn circular loop of wire with diameter 12 cm is placed in a uniform magnetic field. The magnetic field is increased at a constant rate from a value of 5 tesla to a value of 10 tesla over a time of 6 seconds. What is the voltage induced?
19. If the coil in question 18 had 30 turns instead of 300, what would the voltage be?
20. The current in the coil in question 18 was found to increase from a value of 30 mA to 150 mA in that same 6 second period. Calculate the inductance of the coil
21. For the same coil as in question 18, what would the induced voltage is the current was 200 A and stayed constant over time
Homework Answers
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18. A 300 turn circular loop of wire with diameter 12 cm is
placed in a...
1. A 85 turn elastic circular coil of wire initially has a radius of 74.2 cm...
1. A 85 turn elastic circular coil of wire initially has a radius of 74.2 cm and is immersed in a uniform magnetic field with a strength of 0.495 T. At t 0, the coil is released and begins decreasing in radius at a constant rate of 7.22 cm/s. While it contracts, the number of turns does not change. a) Write the magnetic flux through a single turn of the coil as a function of time. (Hint: What causes the...
A coil composed of five circular loops of wire (area of each loop is 0.125 m^2)...
A coil composed of five circular loops of wire (area of each loop is 0.125 m^2) lies in the plane of this sheet of paper. A magnetic field pointed perpendicular out of the sheet of paper (towards us), and begins at a strength of 2.5 tesla. Over 0.025 seconds, the magnetic field reduces to zero tesla. (a) Calculate the induced voltage in this coil caused by this changing magnetic field. (b) What direction will current flow around this coil (clockwise...
A circular coil of wire with a radius 4 cm and 150 Turns is placed in...
A circular coil of wire with a radius 4 cm and 150 Turns is placed in a uniform magnetic field of magnitude 0.6 T. The magnetic field is parallel to the area vector; I.e. perpendicular to the plane of the coil. A)What is the magnetic flux through the coil? B)The magnetic field is decreased to 0T in .1 seconds. What is the magnitude of the emf induced in the coil during this time interval?C) If the coil has a resistance...
A circular coil of wire with radius 2 cm and 60 turns is placed in a...
A circular coil of wire with radius 2 cm and 60 turns is placed in a uniform magnetic field of magnitude 0.8 T. The magnetic field is parallel to the area vector; i.e. perpendicular to the plane of the coil. a) What is the magnetic flux through the coil? b) The magnetic field is decreased to 0 T in 0.1 s. What is the magnitude of the emf induced in the coil during this time interval? c) If the coil...
6.[12 pts) The diagram shows a coil of diameter 24.0 cm and 300 turns placed in...
6.[12 pts) The diagram shows a coil of diameter 24.0 cm and 300 turns placed in a region with a magnetic field that decreases uniformly in magnitude from 2.50 T to 0.85 T in a time of 1.20 seconds. a. Determine the magnitude of the induced current in the coil in that time. b. Determine the direction this current flows in the coil. Fully explain your answer.
A circular coil of wire with radius 4 cm and 20 turns is placed in a...
A circular coil of wire with radius 4 cm and 20 turns is placed in a uniform magnetic field of magnitude 0.3 T. The magnetic field is parallel to the area vector; i.e. perpendicular to the plane of the coil. a) What is the magnetic flux through the coil? b) The magnetic field is decreased to 0 T in 0.1 s. What is the magnitude of the emf induced in the coil during this time interval? c) If the coil...
a. A coil of wire with 209 circular turns of radius 3.10 cm is in a...
a. A coil of wire with 209 circular turns of radius 3.10 cm is in a uniform magnetic field along the axis of the coil. The coil has R = 41.5 Ω . At what rate, in teslas per second, must the magnetic field be changing to induce a current of 0.149 A in the coil? b. A closely wound rectangular coil of 90.0 turns has dimensions of 30.0 cm by 47.0 cm . The plane of the coil is...
A 65-turn circular coil (radius = 31 cm) with a total resistance of 5.4 ? is...
A 65-turn circular coil (radius = 31 cm) with a total resistance of 5.4 ? is placed in a uniform magnetic field directed perpendicular to the plane of the coil. The magnitude of this field varies with time according to B = A sin(?t), where the amplitude is A = 110 ?T and the angular frequency is ? = 50 ? rad/s. What is the magnitude of the current (in mA) induced in the coil at t = 39 ms?
4. A 500-turn solenoid has a length of 10.0 cm and a radius of 1.00 cm....
4. A 500-turn solenoid has a length of 10.0 cm and a radius of 1.00 cm. (a) If you are facing the opening in the front of the solenoid, what current would be needed in the solenoid (magnitude and direction) to generate a magnetic field of 2.51 x 10T pointing directly towards you? (6) A second coil of ten turns is wrapped tightly around the solenoid, so it can be considered to have the same radius as the solenoid. The...
#16 A 22.0-cm-diameter coil consists of 28 turns of circular copper wire 2.6 mm in diameter....
#16
A 22.0-cm-diameter coil consists of 28 turns of circular copper wire 2.6 mm in diameter. A uniform magnetic field, perpendicular to the plane of the coil, changes at a rate of 8.65 Times 10^-3 T/s. Determine the current in the loop, and the rate at which thermal energy is produced. A power line carrying a sinusoidally varying current with frequency f = 60 Hz and peak value I_0 = 55 kA runs at a height of 7.0 m across...
1. A 85 turn elastic circular coil of wire initially has a radius of 74.2 cm and is immersed in a uniform magnetic field with a strength of 0.495 T. At t 0, the coil is released and begins decreasing in radius at a constant rate of 7.22 cm/s. While it contracts, the number of turns does not change. a) Write the magnetic flux through a single turn of the coil as a function of time. (Hint: What causes the...
A circular coil of wire with radius 2 cm and 60 turns is placed in a uniform magnetic field of magnitude 0.8 T. The magnetic field is parallel to the area vector; i.e. perpendicular to the plane of the coil. a) What is the magnetic flux through the coil? b) The magnetic field is decreased to 0 T in 0.1 s. What is the magnitude of the emf induced in the coil during this time interval? c) If the coil...
6.[12 pts) The diagram shows a coil of diameter 24.0 cm and 300 turns placed in a region with a magnetic field that decreases uniformly in magnitude from 2.50 T to 0.85 T in a time of 1.20 seconds. a. Determine the magnitude of the induced current in the coil in that time. b. Determine the direction this current flows in the coil. Fully explain your answer.
4. A 500-turn solenoid has a length of 10.0 cm and a radius of 1.00 cm. (a) If you are facing the opening in the front of the solenoid, what current would be needed in the solenoid (magnitude and direction) to generate a magnetic field of 2.51 x 10T pointing directly towards you? (6) A second coil of ten turns is wrapped tightly around the solenoid, so it can be considered to have the same radius as the solenoid. The...
#16
A 22.0-cm-diameter coil consists of 28 turns of circular copper wire 2.6 mm in diameter. A uniform magnetic field, perpendicular to the plane of the coil, changes at a rate of 8.65 Times 10^-3 T/s. Determine the current in the loop, and the rate at which thermal energy is produced. A power line carrying a sinusoidally varying current with frequency f = 60 Hz and peak value I_0 = 55 kA runs at a height of 7.0 m across...
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