Physics · Current Electricity

JEE Main 2024 — 5 April, Shift 2 — Question 34

A galvanometer of resistance 100Ω100 \Omega when connected in series with 400Ω400 \Omega measures a voltage of upto 10 V . The value of resistance required to convert the galvanometer into ammeter to read upto 10 A is x×10−2Ω\mathrm{x} \times 10^{-2} \Omega. The value of x is :

  1. Option A:

    2

  2. Option B:

    800

  3. Option C:

    20

    Correct
  4. Option D:

    200

Answer: C

Step-by-step solution

ig=10400+100=20×10−3 A\quad \mathrm{i}_{\mathrm{g}}=\frac{10}{400+100}=20 \times 10^{-3} \mathrm{~A}

For ammeter

Let shunt resistance =S=S

igR=(i−ig)S\mathrm{i}_{\mathrm{g}} \mathrm{R}=\left(\mathrm{i}-\mathrm{i}_{\mathrm{g}}\right) \mathrm{S}

20×10−3×100=10 S20 \times 10^{-3} \times 100=10 \mathrm{~S}

S=20×10−2Ω\mathrm{S}=20 \times 10^{-2} \Omega

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Current Electricity
Topic
Electrical Measuring Instruments
A galvanometer of resistance 100 Ω when connected in series with 400… | JEE Main 2024 PYQ with Solution · DhiX AI