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To find the resistance of a gold bangle, two diametrically opposite points of the bangle are connected to the two terminals of the left gap of a meter bridge. A - Physics

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Question

To find the resistance of a gold bangle, two diametrically opposite points of the bangle are connected to the two terminals of the left gap of a meter bridge. A resistance of 4 Ω is introduced in the right gap. What is the resistance of the bangle if the null point is at 20 cm from the left end?

Options

  • 16Ω

MCQ

Solution

Explanation:

According to meter bridge experiments, relationships use the null point finding technique.

The expression gives the condition of a null point in the meter bridge.

`R_a/R_b = L/(100 - L)`  ....(1)

Here, L is the distance from one end of the bridge; that point is called a null point.

Substitute the value of Rb = 4Ω and L = 20 cm in equation 1.

`R_a/(4 Ω) = (20 " cm")/(100 " cm" - 20 " cm")`

`"R"_a/(4 Ω) = 20/80`

`"R"_a/(4 Ω) = 1/4`

`"R"_a = 1/4 xx 4Ω`

Ra = 1 Ω

But the bangle is connected toward the diametral end side of the apparatus system, so for the balanced condition.

`(R_("gold bengle"))/2 = R_a`

 Ra = 1Ω Put the value on the above equation.

`(R_("gold bengle"))/2 = 1`

`R_("gold bengle") = 2 xx 1`

`R_("gold bengle")` = 2 Ω

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Current Electricity
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Chapter 9: Current Electricity - Exercises [Page 228]

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Balbharati Physics [English] 12 Standard HSC Maharashtra State Board
Chapter 9 Current Electricity
Exercises | Q 1.6 | Page 228

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