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Question

The graphs between current (I) and voltage (V) for three linear resistors 1, 2 and 3 are given below:

If R 1, R 2and R 3are the resistances of these resistors, then which one of the following is correct?

This question was previously asked in
NDA I 2018 GAT Previous Year Paper (22-Apr-2018)
The correct answer is

R 1< R 3< R 2

CONCEPT:

  • Ohm’s law: At constant temperature , the potential difference across a current carrying wire is directly proportional to current flowing through it .
  • V = IR

Where V is the potential difference , R is resistance and I is current .

EXPLANATION:

We have graph between Current (I) and potential difference (V):

As V = IR

So I = V/R

The above relation of I and R is a straight line equation in which 1/R gives the slope of the line .

Slope of graph = 1/R

From the given graph in the question, as slope of graph 1 is maximum and then it is of graph 3 and slope of graph 2 is minimum .

&there4; Slope of graph 1 > slope of graph 3 > slope of graph 2

So 1/R 1> 1/R 3> 1/R 2

Hence R2 > R 3> R 1
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Important Questions from Ohm’s Law

  1. Three resistors having resistances in the ratio 1 : 2 : 3 are in parallel. The current through the resistors are in the ratio

  2. Which of the law states that in any closed circuit the current is directly proportional to the voltage, provided the physical conditions of the circuit are kept constant?

  3. According to Ohm’s law, if current (I) increases and potential difference (V) remains constant, then:

  4. Fill in the blank with the most appropriate option.

    18 volts = _________ × 3 ohms.

  5. ______ states that the electric current flowing through a metallic wire is directly proportional to the potential difference ‘V’ across its ends provided its temperature remains the same.
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