Homework Answers
4.
(a) Direction of induceed current in the conducting circular hoop is anti clockwise if viewed from the front of solenoid (as shown in the figure). If the polarity reversed the current in the hoop also change its direction.
(b)
After long time the current through the circular loop ceases and thus there will be no power.
(c) If the number of turns increases the current should be increases in the hoop.
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4. (25 points) The following question examines the effect of a time-varying current in a cylin-...
A long solenoid of radius R 10 cm has n 100 turns/cm and carries a time-varying...
A long solenoid of radius R 10 cm has n 100 turns/cm and carries a time-varying current that varies sinusoidally as IImax cos (2d), where Imax = 10 A is the maximum current andf-60 Hz is the frequency of the alternating current source. What is the maximum magnitude of the induced electric field inside the solenoid, a distance , 1.3 cm from its axis? Path of integration
Problem 5. (4 points) Electric field induced by a changing magnetic field in a solenoid. long...
Problem 5. (4 points) Electric field induced by a changing magnetic field in a solenoid. long solenoid of radius R = 10 cm has n = 100 turns/cm and carries a time-varying current that varies sinusoidally as I- Imax cos (2rft), where Imax- 10 A is the maximum current and f-60 Hz is the frequency of the alternating current source. What is the maximum magnitude of the induced electric field inside the solenoid, a distance r- 1.3 cm from its...
-dB-(Hol dx Extra Credit 1.) Which equation from A-E on left should be used to find...
-dB-(Hol dx Extra Credit 1.) Which equation from A-E on left should be used to find out the B field inside an ideal solenoid 4T r2 B. Jclosed loop Extra Credit 2.) Which equation from A-E on left should be used to find out the B field due to a current carrying circular curve at its center dt Extra Credit 3.) Which equation from A-E on left should be used to find the induced E feld around the solenoid carrying...
A 5.0 cm long solcnoig has Iboo turns of wire and carries a current of 70...
A 5.0 cm long solcnoig has Iboo turns of wire and carries a current of 70 4. Calculate the strength of the magnetic field at the center of the solenoid? A magnetic field of 20.0 T is directed perpendicolar to the face of a circular coil with a radius of 25.0 om. what is the magnetic flux linked with the coil2 © A single urcular 100p of wire with radius ab.bcm 15 perpendicular to a magnetic field which increases from...
1) [7 marks] A long straight wire hangs vertically through the middle of a metal basketball...
1) [7 marks] A long straight wire hangs vertically through the middle of a metal basketball hoop of radius R = 23.0 cm. The hoop is horizontal. The wire carries a current of I = 1.56 A, moving vertically upward from the ground toward the sky. a) Sketch the magnetic field inside the hoop, as viewed from above it. b) What is the magnitude of the magnetic field at the hoop's location? c) Is there a net magnetic flux through...
If we were give a resistance of 0.75x10^-3 Ω, but not a graph of thermal energy...
If we were give a resistance of 0.75x10^-3 Ω, but not a graph of
thermal energy changing over time (no E value given), what would
the thermal energy in the loop be?
In Fig. 30-53a, a circular loop of wire is concentric with a solenoid and lies in a plane perpendicular to the solenoid's central axis. The loop has radius 6.00 cm. The solenoid has radius 2.00 cm, consists of 8000 turns/min, and has a currentol varying with time tas...
(a) (4 marks) Two long, parallel, straight wires spaced d = 0.06 m apart carry currents 4 A and 7 A in opposite directi...
(a) (4 marks) Two long, parallel, straight wires spaced d = 0.06 m apart carry currents 4 A and 7 A in opposite directions. Copy the diagram at right showing the two wires and indicating the direction of the currents in each. (i) Draw a vector indicating the direction of the magnetic field caused by the first wire at the position of the second wire. (ii) Indicate the direction of the force experienced by the second wire due to this...
A square, single-turn wire loop ! - 1.00 cm on a side is placed inside a...
A square, single-turn wire loop ! - 1.00 cm on a side is placed inside a solenoid that has a circular cross section of radius - 3.00 cm, as shown in the end view of the figure below. The solenoid is 22.5 cm long and wound with 112 turns of wire. (a) If the current in the solenoid is 3.85 A, what is the magnetic flux through the square loop? (b) If the current in the solenoid is reduced to...
3. (a) Ampère's law can be written in the following form: $6.d1= B.d = Hol. Use...
3. (a) Ampère's law can be written in the following form: $6.d1= B.d = Hol. Use this to show that the magnetic field B inside a toroidal-shaped solenoid, with n turns per unit length and carrying a current I, has a magnitude equal to Monl. Explain how you result can be used to obtain the magnetic field inside a long straight solenoid, with n turns per unit length. {4} (b) Faraday's law can be written in the following form: $...
A long solenoid of radius R 10 cm has n 100 turns/cm and carries a time-varying current that varies sinusoidally as IImax cos (2d), where Imax = 10 A is the maximum current andf-60 Hz is the frequency of the alternating current source. What is the maximum magnitude of the induced electric field inside the solenoid, a distance , 1.3 cm from its axis? Path of integration
Problem 5. (4 points) Electric field induced by a changing magnetic field in a solenoid. long solenoid of radius R = 10 cm has n = 100 turns/cm and carries a time-varying current that varies sinusoidally as I- Imax cos (2rft), where Imax- 10 A is the maximum current and f-60 Hz is the frequency of the alternating current source. What is the maximum magnitude of the induced electric field inside the solenoid, a distance r- 1.3 cm from its...
-dB-(Hol dx Extra Credit 1.) Which equation from A-E on left should be used to find out the B field inside an ideal solenoid 4T r2 B. Jclosed loop Extra Credit 2.) Which equation from A-E on left should be used to find out the B field due to a current carrying circular curve at its center dt Extra Credit 3.) Which equation from A-E on left should be used to find the induced E feld around the solenoid carrying...
A 5.0 cm long solcnoig has Iboo turns of wire and carries a current of 70 4. Calculate the strength of the magnetic field at the center of the solenoid? A magnetic field of 20.0 T is directed perpendicolar to the face of a circular coil with a radius of 25.0 om. what is the magnetic flux linked with the coil2 © A single urcular 100p of wire with radius ab.bcm 15 perpendicular to a magnetic field which increases from...
1) [7 marks] A long straight wire hangs vertically through the middle of a metal basketball hoop of radius R = 23.0 cm. The hoop is horizontal. The wire carries a current of I = 1.56 A, moving vertically upward from the ground toward the sky. a) Sketch the magnetic field inside the hoop, as viewed from above it. b) What is the magnitude of the magnetic field at the hoop's location? c) Is there a net magnetic flux through...
If we were give a resistance of 0.75x10^-3 Ω, but not a graph of
thermal energy changing over time (no E value given), what would
the thermal energy in the loop be?
In Fig. 30-53a, a circular loop of wire is concentric with a solenoid and lies in a plane perpendicular to the solenoid's central axis. The loop has radius 6.00 cm. The solenoid has radius 2.00 cm, consists of 8000 turns/min, and has a currentol varying with time tas...
(a) (4 marks) Two long, parallel, straight wires spaced d = 0.06 m apart carry currents 4 A and 7 A in opposite directions. Copy the diagram at right showing the two wires and indicating the direction of the currents in each. (i) Draw a vector indicating the direction of the magnetic field caused by the first wire at the position of the second wire. (ii) Indicate the direction of the force experienced by the second wire due to this...
A square, single-turn wire loop ! - 1.00 cm on a side is placed inside a solenoid that has a circular cross section of radius - 3.00 cm, as shown in the end view of the figure below. The solenoid is 22.5 cm long and wound with 112 turns of wire. (a) If the current in the solenoid is 3.85 A, what is the magnetic flux through the square loop? (b) If the current in the solenoid is reduced to...
3. (a) Ampère's law can be written in the following form: $6.d1= B.d = Hol. Use this to show that the magnetic field B inside a toroidal-shaped solenoid, with n turns per unit length and carrying a current I, has a magnitude equal to Monl. Explain how you result can be used to obtain the magnetic field inside a long straight solenoid, with n turns per unit length. {4} (b) Faraday's law can be written in the following form: $...
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