Let's consider we have two circuits of arbitrary geometry at a distance R apart from each...
Let's consider we have two circuits of arbitrary geometry at a distance R apart from each other. As R increases, the mutual inductance M will change as a function of R. Make an argument for the asymptotic behavior of M as a function of R at a very large R.
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Let's consider we have two circuits of arbitrary geometry at a
distance R apart from each...
4. (25 pt) Two electrical circuits interact magnetically, by "mutual induction." Each circuit is responsive to...
4. (25 pt) Two electrical circuits interact magnetically, by "mutual induction." Each circuit is responsive to the changing magnetic fields generated by time- dependent currents in the other. The mutual inductance M quantifies the strength of the interaction. Ci し2 C2 Figure 0.1: Two LC circuits, coupled by a mutual inductance M (a). (5 pt) Through the mutual inductance M, an extra voltage is induced on the inductor, - MdI/dt, where the current is carried by the other circuit. Show...
answers of 5.10 5.34 Two identical circular loops of radius a are initially located a distance R apart on a common axis perpendicular to their planes. (a) From the expression W12-fd3x Ji . A2...
answers of 5.10
5.34 Two identical circular loops of radius a are initially located a distance R apart on a common axis perpendicular to their planes. (a) From the expression W12-fd3x Ji . A2 and the result for As from Problem 5.10b, show that the mutu inductance of the loops is Show that for R>2a, M12 has the expansion, (b) 75 (a Нота а (c) Use the techniques of Scction 3.3 for solutions of the Laplace equation to show that...
please answer the question 7. (1 point) Suppose we have two economies - let's call them...
please answer the question
7. (1 point) Suppose we have two economies - let's call them Earth and Mars-that are identical, except that one begins with a stock of ideas that is twice as large as the other: Abarth = 2 x Alar: The two oconomies are so far apart that they don't share ideas, and each evolves as a separate Romer economy. On a single graph (with a ratio scale), plot the behavior of per capita GDP on Earth...
2. Two ions with charges qc and qo begin at a distance r apart from each...
2. Two ions with charges qc and qo begin at a distance r apart from each other. It is observed that qc exerts a repulsive force on qo e. Go back to the original situation. Now, suppose the original se the force on go change? duced to A. 6.25 times the original force B. 2.5 times the original force C. unchanged D. 0.4 times the original force E. 0.16 times the original force
Explanation please Two disks of radius r are fixed at a distance D apart on a...
Explanation please
Two disks of radius r are fixed at a distance D apart on a rigid rod and rotate at constant angular speed with a period T. The disks have holes at 2r/3 with a fixed angular separation e. A bullet moves at speed v such that it passes through both holes. Assume that the bullet travels in a straight line. A. (10 points) Find the angular separation in terms of v,r, T and D. Now consider two disks...
Group Problem 2: You are given the task to determine the inductance M of two inductors...
Group Problem 2: You are given the task to determine the inductance M of two inductors of unknown self-inductances L1 and L2. Recall that M = M12 = M21 and the magnetic flux B1,2 = M12/1 and B2,1 = M2112. To perform this task, you connect one of the inductors (say L1) in series with a battery of emf = 10 V and a resistor of resistance R1 = 212. These three components, as well as a switch S, form...
Consider the figure above. The six circuits are each made of more than two connected components....
Consider the figure above. The six circuits are each made of
more than two connected components. The rectangles are the
components and the lines are connecting wires. Each circuit has two
circular terminals. We consider the circuits' behaviors with
electricity going in one of the terminals and going out the other
when the terminals are connected to a battery or another
circuit.
A) Which of the six circuits have all the
components in series? (Select all the circuits that have...
Consider the figure above. The six circuits are each made of more than two connected components....
Consider the figure above. The six circuits are each made of
more than two connected components. The rectangles are the
components and the lines are connecting wires. Each circuit has two
circular terminals. We consider the circuits' behaviors with
electricity going in one of the terminals and going out the other
when the terminals are connected to a battery or another
circuit.
A) Which of the six circuits have all the components in series?
(Select all the circuits that have...
7. Two wires lie in the z direction, spaced some distance apart. Each wire carries a...
7. Two wires lie in the z direction, spaced some distance apart. Each wire carries a current a) Make a sketch of the magnetic field lines that result from the wires in two cases: one in which the currents are traveling in the same direction, and one in which the currents are traveling in opposite directions. b) Describe the effect that each wire will have on the other
7. Two wires lie in the z direction, spaced some distance apart....
1) Two identical small charged spheres are a certain distance apart, and each one initially experiences...
1) Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude F due to the other. With time, charge gradually diminishes on both spheres by leaking off. When each of the spheres has lost half its initial charge, what will be the magnitude of the electrostatic force on each one? A) 1/16 F B) 1/8 F Coulomos coulombs Law C) 1/4 F D) 1/2 F E) 1/2 F 2) Two...
4. (25 pt) Two electrical circuits interact magnetically, by "mutual induction." Each circuit is responsive to the changing magnetic fields generated by time- dependent currents in the other. The mutual inductance M quantifies the strength of the interaction. Ci し2 C2 Figure 0.1: Two LC circuits, coupled by a mutual inductance M (a). (5 pt) Through the mutual inductance M, an extra voltage is induced on the inductor, - MdI/dt, where the current is carried by the other circuit. Show...
answers of 5.10
5.34 Two identical circular loops of radius a are initially located a distance R apart on a common axis perpendicular to their planes. (a) From the expression W12-fd3x Ji . A2 and the result for As from Problem 5.10b, show that the mutu inductance of the loops is Show that for R>2a, M12 has the expansion, (b) 75 (a Нота а (c) Use the techniques of Scction 3.3 for solutions of the Laplace equation to show that...
please answer the question
7. (1 point) Suppose we have two economies - let's call them Earth and Mars-that are identical, except that one begins with a stock of ideas that is twice as large as the other: Abarth = 2 x Alar: The two oconomies are so far apart that they don't share ideas, and each evolves as a separate Romer economy. On a single graph (with a ratio scale), plot the behavior of per capita GDP on Earth...
2. Two ions with charges qc and qo begin at a distance r apart from each other. It is observed that qc exerts a repulsive force on qo e. Go back to the original situation. Now, suppose the original se the force on go change? duced to A. 6.25 times the original force B. 2.5 times the original force C. unchanged D. 0.4 times the original force E. 0.16 times the original force
Explanation please
Two disks of radius r are fixed at a distance D apart on a rigid rod and rotate at constant angular speed with a period T. The disks have holes at 2r/3 with a fixed angular separation e. A bullet moves at speed v such that it passes through both holes. Assume that the bullet travels in a straight line. A. (10 points) Find the angular separation in terms of v,r, T and D. Now consider two disks...
Group Problem 2: You are given the task to determine the inductance M of two inductors of unknown self-inductances L1 and L2. Recall that M = M12 = M21 and the magnetic flux B1,2 = M12/1 and B2,1 = M2112. To perform this task, you connect one of the inductors (say L1) in series with a battery of emf = 10 V and a resistor of resistance R1 = 212. These three components, as well as a switch S, form...
Consider the figure above. The six circuits are each made of
more than two connected components. The rectangles are the
components and the lines are connecting wires. Each circuit has two
circular terminals. We consider the circuits' behaviors with
electricity going in one of the terminals and going out the other
when the terminals are connected to a battery or another
circuit.
A) Which of the six circuits have all the
components in series? (Select all the circuits that have...
Consider the figure above. The six circuits are each made of
more than two connected components. The rectangles are the
components and the lines are connecting wires. Each circuit has two
circular terminals. We consider the circuits' behaviors with
electricity going in one of the terminals and going out the other
when the terminals are connected to a battery or another
circuit.
A) Which of the six circuits have all the components in series?
(Select all the circuits that have...
7. Two wires lie in the z direction, spaced some distance apart. Each wire carries a current a) Make a sketch of the magnetic field lines that result from the wires in two cases: one in which the currents are traveling in the same direction, and one in which the currents are traveling in opposite directions. b) Describe the effect that each wire will have on the other
7. Two wires lie in the z direction, spaced some distance apart....
1) Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude F due to the other. With time, charge gradually diminishes on both spheres by leaking off. When each of the spheres has lost half its initial charge, what will be the magnitude of the electrostatic force on each one? A) 1/16 F B) 1/8 F Coulomos coulombs Law C) 1/4 F D) 1/2 F E) 1/2 F 2) Two...
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