A 6 V battery is connected across a resistance R. The current through R is 0.4 mA. What will be the value of R?

  1. 10 kΩ
  2. 15 kΩ
  3. 20 kΩ
  4. 25 kΩ

Answer (Detailed Solution Below)

Option 2 : 15 kΩ
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Detailed Solution

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CONCEPT:

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

          i.e. V = IR

Where V = potential difference, R = resistance and I = current.

EXPLANATION:

Given - V = 6 V and I = 0.4 A

  • According to ohm's law, V = IR
  • The above equation can be written for resistance as

\(\Rightarrow R = \frac{V}{I}=\frac{6}{0.4\times 10^{-3}}=15\times 10^{3}\, \Omega=15\, k\Omega\)

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