Join 60,000+ competitive exam aspirants
If frequency increase, G will
Increase
Decrease
Remain same
None of these
Remain same
In an A.C. parallel circuit, conductance (G) is defined as the real part of the admittance (Y) and represents the reciprocal of resistance (R). Since resistance is a passive element determined by the physical construction of the conductor, it remains independent of frequency variations.
In an A.C. parallel circuit, conductance (G) is defined as the real part of the admittance (Y) and represents the reciprocal of resistance (R). Since resistance is a passive element determined by the physical construction of the conductor, it remains independent of frequency variations.
G=R1тАЛ тАФ definition of conductance in Siemens
Y=G+j(BCтАЛтИТBLтАЛ) тАФ total admittance of a parallel RLC circuit
The admittance Y of a parallel circuit is given by Y=G+jB, where G=R1тАЛ and B (susceptance) is a function of frequency. Because R depends on geometry, resistivity, and temperature, changing the supply frequency does not alter R or G. Thus, G is a frequency-independent parameter in linear lumped circuits.
Conductance (G) is the real component of admittance.
Susceptance (B) varies with frequency as BLтАЛ=2╧АfL1тАЛ and BCтАЛ=2╧АfC.
Resistance (R) is considered constant in ideal circuit theory across frequency ranges.
G is measured in Siemens (S) or Mho (OmegaтИТ1).
Simplifies calculation of active power dissipation (P=V2G).
Provides a real-valued parameter for power analysis.
Does not account for frequency-dependent skin effect which may increase AC resistance at very high frequencies.
Power system load modeling.
Calculation of active power losses in parallel networks.
At very high radio frequencies (RF), the 'skin effect' causes effective resistance to increase, which would technically decrease G. However, in standard 'Basic Electrical' context, components are treated as ideal and frequency-independent.
Option A and B are incorrect because they imply dependency on frequency, which only applies to reactance components (XLтАЛ or XCтАЛ).
C is correct тАФ Conductance (G) is defined solely by resistance (R), which is a passive property that does not change with the frequency of the supply.
Always distinguish between 'Conductance' (G, frequency-independent) and 'Susceptance' (B, frequency-dependent) when analyzing parallel A.C. circuits.