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# In a Series Lcr Circuit, Obtain the Condition Under Which Watt-less Current Flows in the Circuit ? - Physics

ConceptAc Voltage Applied to a Series Lcr Circuit

#### Question

In a series LCR circuit, obtain the condition under which watt-less current flows in the circuit ?

#### Solution

Average power dissipated through a series LCR circuit is given by $P_{av} = E_v I_v \cos\left( \phi \right)$

where, Ev = rms value of alternating voltage
Iv = rms value of alternating current
Φ = phase difference between current and voltage
For wattless current, the power dissipated through the circuit should be zero.

$i . e . , \cos\left( \phi \right) = 0$

$\Rightarrow \phi = \frac{\pi}{2}$

Hence, the condition for wattless current is that the phase difference between the current and voltage should be π/2 and the circuit is purely inductive or purely capacitive.

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Solution In a Series Lcr Circuit, Obtain the Condition Under Which Watt-less Current Flows in the Circuit ? Concept: Ac Voltage Applied to a Series Lcr Circuit.
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