whan a 12 V battery is connected across an unknown resistor,there is a current of 2.5 mA in the circuit. Find the value of the resistance of the resistor.
Answers
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According to Ohm’s law,
V = IR ⟹
=v/I
Here, V = 12 V and I = 2.5 mA = 0.0025 A Therefore,
=12/ 0.0025 = 4800 Ω = 4.8 kΩ
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4.8 KΩ
Given:
Potential Difference (V) = 12 V
Current that is there in the circuit (I) = 2.5 mA
Converting the current in milliampere to Amperes by multiplying by 10^-3:
= 2.5 x 10^-3 Amperes
To Find:
Resistance of the resistor.
Calculating:
Ohm's law tells us:
V = IR
Taking I to the other side of the equation we get:
R = V / I
Substituting all the values that are known to us in this formula we get:
R = 12 / 2.5 x 10^-3
R = 4.8 x 10^3
(When 10^-3 goes from the denominator to the number the power -3 will become positive)
R = 4.8 K
Ω
K
Ω here is Kilo ohms. 1 kilo ohm = 1000 ohms/
Hence, after calculating we get the resistance of the resistor to be 4.8 KΩ
.