Which of the following graph follows Ohm's law

F1 Prabhu 10.5.21 Pallavi D4

  1. 1 and 4
  2. 2
  3. 3
  4. None of the above

Answer (Detailed Solution Below)

Option 3 : 3
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CUET General Awareness (Ancient Indian History - I)
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Detailed Solution

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CONCEPT:

Ohm's law:

  • A conductor through which a current I is flowing and let V be the potential difference between the ends of the conductor. Then Ohm’s law states that

⇒ V ∝ I

⇒ V = IR

where R is called the resistance of the conductor. Resistance depends on the shape, size, and material of the conductor.

Limitations of Ohm's law:

  • Ohm’s law is valid over a large class of materials.
  • There do exist materials and devices used in electric circuits where the proportionality of V and I does not hold. 

The deviations in occurring are one or more of the following types:

  • V is not to be proportional to I for some range of V or I

F1 Prabhu 10.5.21 Pallavi D1

  • The relation between V and I depends on the sign of V. 
    • Reversing the direction of V keeping its magnitude fixed does not produce a current of the same magnitude as I in the opposite direction.

F1 Prabhu 10.5.21 Pallavi D2

  • The relation between V and I is not unique
    • There is more than one value of V for the same current I 

F1 Prabhu 10.5.21 Pallavi D3

EXPLANATION:

Ohm's law:

  • A conductor through which a current I is flowing and let V be the potential difference between the ends of the conductor. Then Ohm’s law states that

⇒ V ∝ I

⇒ V = RI

where R is called the resistance of the conductor. Resistance depends on the shape, size, and material of the conductor.

  • This equation is that of a straight line

⇒ y = mx + c

where y = V, m = R, x = I, c = 0

F1 Prabhu 10.5.21 Pallavi D4

  • Graph that is a straight line passing through origin with a positive slope follows ohms law, that is 3. T​herefore option 3 is correct. 

Important Points

  • There are conditions when Ohm's law is not valid.
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