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Chapter 31: Problem 2850

What is the resistance of an open key? (A) \(\infty\) (B) Can't be determined (C) 0 (D) depends on the other resistance in the circuit

Short Answer

Expert verified
The correct answer is (A) \(\infty\). The resistance of an open key is theoretically infinite since it acts as an insulator, preventing the flow of current.

Step by step solution

01

Make sure we understand "open key"

An open key is a switch that is not closed or conducting. In other words, it is a switch that is "open," meaning no current can flow through it. When dealing with resistances in a circuit, an open key has a significant impact on the effective resistance.
02

Analyze Option A: Infinite resistance

Since no current can flow through an open key, it is acting as an insulator. In theory, the resistance of an insulator is considered to be infinite, i.e., an extremely high value that prevents the flow of current. Therefore, Option A can be the correct answer.
03

Analyze Option B: Can't be determined

If we already know that an open key is a non-conductive switch with infinite resistance in theory, then this option is incorrect, as we have determined that the resistance of an open key can be estimated.
04

Analyze Option C: 0 resistance

This option refers to a conductor or a closed key, where current flows freely with no resistance. An open key is the opposite of that; it does not allow the flow of current. Thus, Option C is incorrect.
05

Analyze Option D: Depends on other resistance in the circuit

The resistance of an open key is independent of the other resistances in the circuit. While the total resistance of a circuit may depend on various factors, the resistance of an open key will always act as an insulator with theoretically infinite resistance. Option D is also incorrect.
06

Conclusion

Based on the analysis, the resistance of an open key is theoretically infinite, which corresponds to Option (A) \(\infty\). So, the correct answer is (A) \(\infty\).

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Most popular questions from this chapter

In a simple meter-bridge circuit, the both gaps are bridge by coils \(\mathrm{P}\) and \(\mathrm{Q}\) having the smaller resistance. A balance is obtained when the jockey key makes contact at a point of the bridge wire $40 \mathrm{~cm}\( from the \)\mathrm{P}\( end. On shunting the coil \)\mathrm{Q}$ with a resistance of \(50 \Omega\) the balance point is moved through $10 \mathrm{~cm}\(. What are the resistance of \)\mathrm{P}\( and \)\mathrm{Q}$ ? (A) \([(100) / 3] \Omega,[(100) / 2] \Omega\) respectively (B) \([(50) / 3] \Omega,[(50) / 2] \Omega\) respectively (C) \([(25) / 3] \Omega,[(25) / 2] \Omega\) respectively (D) \([(75) / 3] \Omega,[(75) / 2] \Omega\) respectively

What is the unit of temperature coefficient of resistance? (A) \(\Omega^{-1}{ }^{\circ} \mathrm{C}\) (B) \(\Omega^{1}{ }^{\circ} \mathrm{C}^{-1}\) (C) \({ }^{\circ} \mathrm{C}^{-1}\) (D) \(\Omega^{0}{ }^{\circ} \mathrm{C}^{-1}\)

In meter bridge experiment, A thin uniform wire \(\mathrm{AB}\) of length $1 \mathrm{~m}\( and unknown resistance \)\mathrm{x}\( and a resistance of \)12 \Omega$ are connected. In the above question, after appropriate conditions are made, it is found that no deflection takes places in the galvanometer when the sliding jockey touches the wire at a distance of \(60 \mathrm{~cm}\) from \(\mathrm{A}\). What is the value of the resistance \(\mathrm{X}\) ? (A) \(18 \Omega\) (B) \(8 \Omega\) (C) \(16 \Omega\) (D) \(4 \Omega\)

A wire is in the form of a tetrahedron shown in figure. The resistance of each wire is \(\mathrm{R}\). What is the resistance of the frame between the corners \(\mathrm{A}\) and \(\mathrm{B}\). (A) \((2 \mathrm{R} / 3)\) (B) \(2 \mathrm{R}\) (C) \(\mathrm{R}\) (D) \((\mathrm{R} / 2)\)
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