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BITSAT 2019
Exam
BITSAT
Year
2019
Subject
Physics
Chapter
Current Electricity

BITSAT 2019 · Physics · Current Electricity

An ammeter of resistance 1. 5Ω can measure currents upto 1A . The...

An ammeter of resistance 1.5Ω1. 5Ω can measure currents upto 1A1A. The value of shunt resistance to measure current upto 4A4A isAn ammeter of resistance 1. 5Ω can measure currents upto 1A . The value of shunt resistance to measure current upto 4A

Options

  1. A0.5Ω0. 5Ω
  2. B1Ω1Ω
  3. C1.5Ω1. 5Ω
  4. D0.2Ω0. 2Ω

Correct answer

A. 0.5Ω0. 5Ω

Step-by-step solution

Given, for an ammeter, Ig=1A,Rg=1.5Ω{I}_{g} = 1A, {R}_{g} = 1 . 5Ω

Total current, I=4AI = 4A

If Rs{R}_{s} be the shunt resistance, then~according to the question circuit diagram is given,& (Rs‖Rg,)hencehaveequalpotentialdifference\left({R}_{s} ‖ {R}_{g},\right) hence have equal potential difference)</p><p><imgsrc="/api/proxy−image?url=https</p><p><img src="/api/proxy-image?url=https%3A%2F%2Ffirebasestorage.googleapis.com%2Fv0%2Fb%2Fquantrexacademy-app.firebasestorage.app%2Fo%2Fquestions%252Ffigs%252Fpyq%252Fbitsat%252F628a806f-5173-4697-b3d9-2c930f3dee17-d47.png%3Falt%3Dmedia&clean=1&v=wm2" data-qx-orig-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fpyq%2Fbitsat%2F628a806f-5173-4697-b3d9-2c930f3dee17-d47.png?alt=media" data-qx-storage-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fpyq%2Fbitsat%2F628a806f-5173-4697-b3d9-2c930f3dee17-d47.png?alt=media" style="width: 348px; height: 170px;" /></p><p>where,{I}_{g}{R}_{g} = \left(I - {I}_{g}\right){R}_{s}</p><p></p><p>{R}_{s} = \dfrac{Ig}{I - {I}_{g}} \times {R}_{g} = \dfrac{1}{4 - 1} \times 1 . 5 = 0 . 5Ω$

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