A 60 μF capacitor is connected to a 110 V, 60 Hz ac supply. Determine the rms value of the current in the circuit
Solution and Explanation
Capacitance of capacitor, C = 60 µF = 60 × 10−6 F
Supply voltage, V = 110 V
Frequency, ν = 60 Hz
Angular frequency, ω= 2 ν
Capacitive reactance,
\(XC=\frac{1}{ωC}=\frac{1}{2πVC}=\frac{1}{2πX60X60X10^-6}Ω\)
rms value of current is given as:
\(I=\frac{V}{X_C}=\frac{220}{2πX60X60X10^{-6}}=2.49 A\)
Hence, the rms value of current is 2.49 A.
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Concepts Used:
Electric Current
Defining Electric Current
It is the rate of flow of electrons in a conductor. SI Unit - Ampere (A).
Electrons are negatively charged particles hence when they move a number of charges moves.
Note:- The ability of a particular substance to conduct electricity depends on the number of electrons that are able to move . Some of the materials allow current to flow better than others.
What is an Electromotive Force?
If a force acts on electrons to make them move in a particular direction, then up to some extent random motion of the electrons will be eliminated. An overall movement in one direction. The force which acts on the electrons to move them in a certain direction is known as electromotive force and its quantity is known as voltage and is measured in V.