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Choose the correct: Four resistances 10 Ω, 10 Ω, 10 Ω and 15 Ω form a Wheatstone’s network. What shunt is required across 15 Ω resistor to balance the bridge

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Question

Choose the correct:

Four resistances 10 Ω, 10 Ω, 10 Ω and 15 Ω form a Wheatstone’s network. What shunt is required across 15 Ω resistor to balance the bridge

Options

  • 10 Ω

  • 15 Ω

  • 20 Ω

  • 30 Ω

MCQ
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Solution

30 Ω

Explanation:

The below diagram represents Wheatstone’s network.

The Wheatstone’s network is said to be balanced when galvanometer shows null deflection. This occurs when:

`R_a/R_b = R_1/R_2`

Therefore the given configuration will be balanced when the equivalent resistance, after the shunt resistance Rs being added parallel to the 15 Ω and 10 Ω.

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Chapter 9: Current Electricity - Exercises [Page 228]

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Balbharati Physics [English] Standard 12 Maharashtra State Board
Chapter 9 Current Electricity
Exercises | Q 1.4 | Page 228

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