Question

When a 12 v battery is connected across an unknown resistor, there is a current of 2.0 ma in the circuit. find the value of the resistance of the resistor?

Answer 1

Hey friend
here is your answer

we have
current ( a ) = 2.0 mA
p.d. ( v ) = 12 V
resistance ( r ) = ? ( to find )
as
$r = \frac{v}{a} \\ r = \frac{12}{2 \times {10}^{ - 3} } \\ r = \frac{12 \times {10}^{ 3} }{2} \\ r = 6 \times 1000 \\ resistance = 6000 \: ohm$


glad to help you
hope it helps
thank you.

Answer 2

Resistance of resistor = 6000Ω

Solution

Given that when a 12 v battery is connected across an unknown resistor, there is a current of 2.0 ma in the circuit.

We have to find resistance of the resistor.

Explanation

From the given data we have ;

• Potential difference = 12 v
• Current in circuit = 2.0 mA

→ Current = 2.0 mA

→ Current = 2 × 10-³ A

→ Current = 0.002 A

Now as we know Ohm's law :-

→ Potential difference (V) = Current (I) * Resistance (R)

→ 12 = 0.002 * R

→ 12 = 0.002R

→ R = 12/0.002

→ R = 12000/2

→ R = 6000Ω

Therefore,

Value of resistance of resistor = 6000Ω