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Question : 8
Total: 10
(a) State the relation correlating the electric current flowing in a conductor and the voltage applied across it. Also draw a graph to show this relationship.
(b) Find the resistance of a conductor if the electric current flowing through it is 0.35 A when the potential difference across it is1.4 V .
(b) Find the resistance of a conductor if the electric current flowing through it is 0.35 A when the potential difference across it is
Solution:
(a) The ohm's law states that the current carrying in a conductor is directly proportional to the voltage applied across the ends of the conductor, keeping the resistance constant.
According to ohm's law;V ∝ I
Mathematically;V = ℝ
where,V = Voltage applied in volts
I = Current flowing in circuit in amperes.
R = Resistance of conductor (proportionality constant)
Graphically; slope of will determine resistance of conductor.
(I) = 0.35 A
Potential difference across conductor( V ) = 1.4 V
We know, according to ohm's law,V = I R
⇒ 1.4 V = ( 0.35 A ) × R
⇒ R = (
) = 4 Ω
Therefore, resistance of conductor is 4 ohms.
Circuit Diagram
According to ohm's law;
Mathematically;
where,
Graphically; slope of will determine resistance of conductor.
(b) Given, current flowing through conductor
Potential difference across conductor
We know, according to ohm's law,
Therefore, resistance of conductor is 4 ohms.
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