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Chapter 14: Problem 2024

Two similar circular loops carry equal currents in the same direction. On moving the coils further apart, the electric current will (a) Remain unchanged (b) Increasing in both (c) Increasing in one decreasing in other (d) Decreasing in both

Short Answer

Expert verified
The electric current in the two similar circular loops carrying equal currents in the same direction will \(remain\ unchanged\) when moved further apart. The current flowing through the loops is not affected by the distance between them. Therefore, the correct answer is \((a)\ Remain\ unchanged\).

Step by step solution

01

Identify the concept involved

We are dealing with two circular loops carrying equal currents. Since the loops are similar, they have the same shape and size. The concept involved in this exercise is based on the interactions between the loops and how the distance between them affects the current flowing through them.
02

Determine the magnetic field produced

First, let's analyze the magnetic field produced by each loop. The magnetic field produced by the current flowing through the loops will interact with each other. Since the loops have the same shape and size and carry equal currents in the same direction, the magnetic fields generated will have the same magnitudes but interact differently with different distances between the loops.
03

Analyze the effect of changing the distance between the loops

As the loops are moved further apart, their magnetic fields will decrease in strength and have a lesser influence on each other. At this point, one may think it might affect the current flowing through the loops. However, it is important to note that the current flowing through the loops is not a function of the distance between them.
04

Refer to the answer choices

Now that we understand that the current is not a function of the distance between the loops, we can refer back to the answer choices. The question asks what will happen to the electric current when the coils are moved further apart: (a) Remain unchanged (b) Increasing in both (c) Increasing in one decreasing in other (d) Decreasing in both
05

Choose the correct answer

Since the current flowing through the loops is not a function of the distance between them, we can conclude that the current will remain unchanged. Therefore, the correct answer is (a) Remain unchanged.

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Most popular questions from this chapter

A 20 volts ac is applied to a circuit consisting of a resistance and a coil with negligible resistance. If the voltage across the resistance is $12 \mathrm{~V}$, the voltage across the coil is, (a) 16 volts (b) 10 volts (c) 8 volts (d) 6 volts

In a region of uniform magnetic induction \(\mathrm{B}=10^{-2}\) tesla, a circular coil of radius \(30 \mathrm{~cm}\) and resistance \(\pi^{2}\) ohm is rotated about an axis which is perpendicular to the direction of \(\mathrm{B}\) and which forms a diameter of the coil. If the coil rotates at $200 \mathrm{rpm}$ the amplitude of the alternating current induced in the coil is, (a) \(4 \pi^{2} \mathrm{~mA}\) (b) \(30 \mathrm{~mA}\) (c) \(6 \mathrm{~mA}\) (d) \(200 \mathrm{~mA}\)

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An LCR series circuit with \(\mathrm{R}=100 \Omega\) is connected to a $200 \mathrm{~V}\(, \)50 \mathrm{~Hz}$ a.c source when only the capacitance is removed the current lies the voltage by \(60^{\circ}\) when only the inductance is removed, the current leads the voltage by \(60^{\circ}\). The current in the circuit is, (a) \(2 \mathrm{~A}\) (b) \(1 \mathrm{~A}\) (c) \((\sqrt{3} / 2) \mathrm{A}\) (d) \((2 / \sqrt{3}) \mathrm{A}\)
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