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The phase relationship between current and voltage in a pure resistive circuit is best represented by.
A. 168飞艇 baf6dd44317dab4181eb6016be5e7e39
B. 168飞艇 45368645fce6021a32e56c205bd0848e
C. 168飞艇 bace2e07b4fe5b9d2dd307b87330f24e
D . 168飞艇 90496b44f93bc91337b6744d8ef2cf73

Answer
VerifiedVerified
300k+ 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 f1794a6f440893155d33eb3bc30db1f8
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 9da1f0f9e7ea3755d04e948f748d084a
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.