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The phase relationship between current and voltage in a pure resistive circuit is best represented by.
A. 168飞艇 3e910417941b1931cf78ca2c0bbd0627
B. 168飞艇 b92355a97f0481d62c82f846b9ad5346
C. 168飞艇 84a7c4b27bc245d6d828629a7e1552c5
D . 168飞艇 0da25815bda9ac133b40763a4e1824cb

Answer
VerifiedVerified
302.4k+ views
Hint: A pure resistive circuit consists of an AC source and a resistor. There is no phase difference between voltage and current and the current and voltage is said to be in-phase.


Complete step by step answer:
It is given that the circuit is pure resistive which means that there is a resistor in the circuit along with an AC source.
168飞艇 84745b5f152513e1b5e1c2d3bb8cbd30
Here ${\text{I}}$ is the current through the circuit and AC source has ${{\text{V}}_{\text{0}}}$ is the voltage difference and ${\text{R}}$ is resistance of the circuit.
Apply Kirchhoff’s law in the given circuit.
168飞艇 c56cb8aa9cadc84f7cd2351fe14e3848
Appling Kirchhoff’s law,
$
  {V_0}\sin \omega t - I \cdot R = 0 \\
  I = \left( {\dfrac{{{V_0}}}{R}} \right)\sin \omega t \\
 $
So, here we can see that current in the same phase as of voltage but is less in magnitude then voltage.
The phase diagram in which both voltage and current are in the same phase and also the current is having lesser value than voltage. Let us observe each of the options and see which one is the correct answer for this problem.
In option A the value of current is lesser than that of voltage but there is phase difference in the diagram.
In option B the value of current is lesser than that of voltage but there is a phase difference that is present in the phase diagram.
In option C the value of current is lesser than that of voltage and the phase difference is zero in the phase diagram.
In option D the value of current is lesser than voltage but there is a phase difference in the phase diagram.
Therefore, option C is the correct answer for this problem.

Note: A phase diagram is used to show the relationship between two or more sine waves having the same frequency. While applying Kirchhoff’s rule if we follow the flow of current then we are proceeding from higher potential to the lower potential of the source.