A wire has a resistance of 12 , Omega. It is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Since the resistance of a wire is directly proportional to its length $(R \propto L)$, when a wire of resistance $12 \, \Omega$ is bent into an eq

Vedclass · Accepted Answer

$8/3 \, \Omega$

Vedclass · Answer

(D) Since the resistance of a wire is directly proportional to its length $(R \propto L)$, when a wire of resistance $12 \, \Omega$ is bent into an equilateral triangle, the resistance of each of the three sides becomes $R_{side} = 12/3 = 4 \, \Omega$.When we calculate the effective resistance between any two corners, one side (of $4 \, \Omega$) is in parallel with the other two sides connected in series (which have a combined resistance of $4 \, \Omega + 4 \, \Omega = 8 \, \Omega$).Therefore, the effective resistance $R_{eq}$ is given by the parallel combination formula:$R_{eq} = \frac{R_1 	imes R_2}{R_1 + R_2} = \frac{4 	imes 8}{4 + 8} = \frac{32}{12} = \frac{8}{3} \, \Omega$.

$A$ wire has a resistance of $12 \, \Omega$. It is bent in the form of an equilateral triangle. The effective resistance between any two corners of the triangle is

Similar Questions

As shown in the figure,$13$ resistors each of resistance $R$ are connected. The effective resistance between points $A$ and $B$ is:

Three conductors draw currents of $1 \,A, 2 \,A$ and $3 \,A$ respectively, when connected in turn across a battery. If they are connected in series and the combination is connected across the same battery, the current drawn will be

An electric kettle has two heating coils. When one coil is used,water in the kettle boils in $5$ minutes,while when the second coil is used,the same water boils in $10$ minutes. If the two coils,connected in parallel,are used simultaneously,the same water will boil in time:

In the given circuit,the value of $I_{2}$ is: (in $A$)

The equivalent resistance between the points $a$ and $b$ of the electrical network shown in the figure is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module