Hint: Apply Faraday law of of
electromagnetic induction. The induced electromotive force is the
negative rate of change of the magnetic flux. Magnetic flux is the
surface integral of the magnetic field through the specified
surface, which is usually a wire loop
a)The current flowing in a solenoid, of 400 turns, 20 cm length & 4 cm diameter, changes with time according to the graph show to right. Derive an expression for the strength of the induced electric field inside the solenoid.
b)Sketch the corresponding graph showing how the induced electric field vary with time.
Homework Answers
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Hint: Apply Faraday law of of
electromagnetic induction. The induced electromotive force is the
negative rate...
a)The current flowing in a solenoid, of 400 turns, 20 cm length & 4 cm diameter,...
a)The current flowing in a solenoid, of 400
turns, 20 cm length & 4 cm diameter, changes with time
according to the graph show to right. Derive an expression for the
strength of the induced electric field inside the solenoid.
b)Sketch the corresponding graph showing how the induced
electric field vary with time.
I(A) 5 Q4: Time (30 minutes) A. The current flowing in a solenoid, of 400 turns, 20 cm length & 4 cm diameter, changes with time according...
5 A. The current flowing in a solenoid, of 400 turns, 20 cm length & 4...
5 A. The current flowing in a solenoid, of 400 turns, 20 cm length & 4 cm diameter, changes with time according to the graph show to right. Derive an expression for the strength of the induced electric field inside the solenoid. 0 0.0 01 02 03 0.4 Sketch the corresponding graph showing how the induced electric field vary with time.
TA) Q4: Time (30 minutes) A. The current flowing in a solenoid, of 400 turns, 20...
TA) Q4: Time (30 minutes) A. The current flowing in a solenoid, of 400 turns, 20 cm length & 4 cm diameter, changes with time according to the graph show to right. Derive an expression for the strength of the induced electric field inside the solenoid 0 00 01 02 03 04 Sketch the corresponding graph showing how the induced electric field vary with time. B. The Figure to right shows an infinite straight wire carries a current I is...
Induction and Faraday's Law In the long solenoid shown in the figure, the number of turns...
Induction and Faraday's Law In the long solenoid shown in the figure, the number of turns per unit length is n_1 = 220 turns/cm. At the center of this solenoid there is a shorter solenoid made of N_2 = 130 turns closely spaced. The diameter of the smaller solenoid is d_2 = 2.1cm, and its axis coincides with the axis of the longer solenoid. The current in the first solenoid grows linearly by an amount delta I = 1.5 A...
QUESTION 6 Gauss's Law describes the following relationship (select the correct answer): O a. Electromotive force...
QUESTION 6 Gauss's Law describes the following relationship (select the correct answer): O a. Electromotive force induced in a conductive loop by variation of a magnetic field. b. Voltage difference across a resistance when current is flowing through the resistance. CPhase angles between current and voltage in capacitors and inductors. d. Electric flux through a closed surface and charge enclosed by the surface. QUESTION 7 "Static" electricity can be described as (select the correct answer): a. The buildup of current...
Problem 3 Part A A copper wire with resistance 0.010 Ω is shaped into a complete circle of radius R 10 cm and placed in a long solenoid so that the axis of the solenoid and the axis of the wire loop...
Problem 3 Part A A copper wire with resistance 0.010 Ω is shaped into a complete circle of radius R 10 cm and placed in a long solenoid so that the axis of the solenoid and the axis of the wire loop coincide. The current in the solenoid is turned on and then slowly decreased. The magnetic field strength is initially B 0.750 T and subsequently decreases in time at the constant rate -0.035 T/s. (a) Calculate the induced emf...
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...
You are working on an electromagnetic method for measuring the speed at which blood flows through...
You are working on an electromagnetic method for measuring the speed at which blood flows through arteries and veins inside the human body. Blood contains both positive and negative ions flowing together in the same direction. If those currents are exposed to a perpendicular magnetic field, they will be pushed in opposite directions, causing a charge separation between the two sides of the blood vessel. But the separated charges create an electric field that inhibits charge separation, so the effect...
Blood contains positive and negative ions, which experience a magnetic force in a magnetic field as...
Blood contains positive and negative ions, which experience a
magnetic force in a magnetic field as they move. An Electromagnetic
Flowmeter takes advantage of this phenomenon. A heart surgeon
monitors the flow rate of blood through an artery. Electrodes make
contact with the outer surface of the blood vessel to measure an
induced voltage. For a magnetic field strength of 0.037 T, a
potential difference of 160 µV appears between the electrodes for a
blood vessel of inside diameter 2.9...
a)The current flowing in a solenoid, of 400
turns, 20 cm length & 4 cm diameter, changes with time
according to the graph show to right. Derive an expression for the
strength of the induced electric field inside the solenoid.
b)Sketch the corresponding graph showing how the induced
electric field vary with time.
I(A) 5 Q4: Time (30 minutes) A. The current flowing in a solenoid, of 400 turns, 20 cm length & 4 cm diameter, changes with time according...
5 A. The current flowing in a solenoid, of 400 turns, 20 cm length & 4 cm diameter, changes with time according to the graph show to right. Derive an expression for the strength of the induced electric field inside the solenoid. 0 0.0 01 02 03 0.4 Sketch the corresponding graph showing how the induced electric field vary with time.
TA) Q4: Time (30 minutes) A. The current flowing in a solenoid, of 400 turns, 20 cm length & 4 cm diameter, changes with time according to the graph show to right. Derive an expression for the strength of the induced electric field inside the solenoid 0 00 01 02 03 04 Sketch the corresponding graph showing how the induced electric field vary with time. B. The Figure to right shows an infinite straight wire carries a current I is...
Induction and Faraday's Law In the long solenoid shown in the figure, the number of turns per unit length is n_1 = 220 turns/cm. At the center of this solenoid there is a shorter solenoid made of N_2 = 130 turns closely spaced. The diameter of the smaller solenoid is d_2 = 2.1cm, and its axis coincides with the axis of the longer solenoid. The current in the first solenoid grows linearly by an amount delta I = 1.5 A...
QUESTION 6 Gauss's Law describes the following relationship (select the correct answer): O a. Electromotive force induced in a conductive loop by variation of a magnetic field. b. Voltage difference across a resistance when current is flowing through the resistance. CPhase angles between current and voltage in capacitors and inductors. d. Electric flux through a closed surface and charge enclosed by the surface. QUESTION 7 "Static" electricity can be described as (select the correct answer): a. The buildup of current...
Problem 3 Part A A copper wire with resistance 0.010 Ω is shaped into a complete circle of radius R 10 cm and placed in a long solenoid so that the axis of the solenoid and the axis of the wire loop coincide. The current in the solenoid is turned on and then slowly decreased. The magnetic field strength is initially B 0.750 T and subsequently decreases in time at the constant rate -0.035 T/s. (a) Calculate the induced emf...
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...
Blood contains positive and negative ions, which experience a
magnetic force in a magnetic field as they move. An Electromagnetic
Flowmeter takes advantage of this phenomenon. A heart surgeon
monitors the flow rate of blood through an artery. Electrodes make
contact with the outer surface of the blood vessel to measure an
induced voltage. For a magnetic field strength of 0.037 T, a
potential difference of 160 µV appears between the electrodes for a
blood vessel of inside diameter 2.9...
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