Question

Find the resistance when 10V potential is applied across a conductor and 2A current flows through ?

Answer 1

Solution :

⏭ Given:

✏ Potential difference across conductor = 10V

✏ Current passed through a conductor = 2A

⏭ To Find:

✏ Resistance of resistor.

⏭ Concept:

✏ As per ohm's law potential difference across conductor is directly proportional to the current flow.

✏ Mathematically, $\red{\sf{V\propto \: I}}$

✏ By putting proportionality constant...

$\bigstar \: \underline{ \boxed{ \bold{ \sf{ \blue{ \large{V = I \times R}}}}}} \: \bigstar$

⏭ Terms indication:

• V denotes p.d.
• I denotes current flow
• R denotes resistance

⏭ Calculation:

$\implies \sf \: V = I \times R \\ \\ \implies \sf \: R = \dfrac{V}{I} \\ \\ \implies \sf \: R = \dfrac{10}{2} \\ \\ \implies \sf \: \underline{ \boxed{ \bold{ \sf{ \orange{ \large{R = 5 \Omega}}}}}} \: \green{ \bigstar}$

Answer 2

$\mathtt{ \huge{ \fbox{Solution :)}}}$

Given ,

• Potential difference (v) = 10 v
• Current (I) = 2 amp

We know that , the ohm's law is given as

$\large \mathtt{\fbox{V = IR}}$

Thus ,

10 = 2 × R

R = 10/2

R = 5 ohm

Hence , the resistance is 5 ohm

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