State True or False. Conductance is reciprocal of resistance.
A. True
B. False
Answer
656.7k+ views
Hint: Resistance is a measure of the opposing power when we talk in the terms of flow of current, in simple words when a substance opposes a flow of current with a huge value it means it shows high resistance, and when current flows easily through a substance it shows low resistance. The unit of resistance is ohm.
Complete step by step answer:
Now as we have learnt about the term resistance let us know what conductance is a measure or the degree of flow of current or electricity, in simple words if current flows easily through a substance this means it has a high value of conductance and if current flows through a substance not that easily this means it has a low value of conductance. The unit of conductance is Siemens or mho.
The relation between the given two terms can be represented as follows:
\[{\text{conductance}} = \frac{1}{{{\text{resistance}}}}\]
Hence, Conductance is a reciprocal of resistance and therefore the answer is True, Option A.
Note:
The symbol of resistance is R and the symbol of conductance is G. There are several factors on which the conductance of a substance depends on:
i. Length of the conductor: The substance through which the current is flowing is referred to as a conductor, length has a direct relation with the resistance and hence an inverse relation with the conductance, therefore, with an increase in the length of the conductor the conductance decreases and vice versa.
ii. Area of cross-section: Area of cross-section has an inverse relation with the resistance and hence a direct relation with the conductance, therefore, with an increase in the cross-section area of the conductor the conductance increases and vice versa.
Complete step by step answer:
Now as we have learnt about the term resistance let us know what conductance is a measure or the degree of flow of current or electricity, in simple words if current flows easily through a substance this means it has a high value of conductance and if current flows through a substance not that easily this means it has a low value of conductance. The unit of conductance is Siemens or mho.
The relation between the given two terms can be represented as follows:
\[{\text{conductance}} = \frac{1}{{{\text{resistance}}}}\]
Hence, Conductance is a reciprocal of resistance and therefore the answer is True, Option A.
Note:
The symbol of resistance is R and the symbol of conductance is G. There are several factors on which the conductance of a substance depends on:
i. Length of the conductor: The substance through which the current is flowing is referred to as a conductor, length has a direct relation with the resistance and hence an inverse relation with the conductance, therefore, with an increase in the length of the conductor the conductance decreases and vice versa.
ii. Area of cross-section: Area of cross-section has an inverse relation with the resistance and hence a direct relation with the conductance, therefore, with an increase in the cross-section area of the conductor the conductance increases and vice versa.
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