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For a d.c circuit, the value of capacitive reactance Xc is
a) zero b) infinity c) π/2 d) π?
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For a d.c circuit, the value of capacitive reactance Xc is a) zero b) ...
Understanding Capacitive Reactance in DC Circuits
In a direct current (DC) circuit, the behavior of capacitors differs significantly from that in alternating current (AC) circuits. One key concept is capacitive reactance (Xc), which dictates how a capacitor will respond to an electrical signal.
Capacitive Reactance (Xc) Definition
- Capacitive reactance is given by the formula: Xc = 1/(2πfC), where:
- f = frequency of the AC signal
- C = capacitance in farads
Frequency in DC Circuits
- In a DC circuit, the frequency (f) is 0 Hz since the current does not alternate.
Calculating Xc in DC
- When you substitute f = 0 into the formula for Xc:
- Xc = 1/(2π * 0 * C) = 1/0
Conclusion on Xc Value
- Since division by zero is undefined, this leads to a situation where capacitive reactance becomes infinite.
Final Answer
- Therefore, the value of capacitive reactance (Xc) in a DC circuit is:
- b) infinity
Implications of Infinite Reactance
- An infinite capacitive reactance means that the capacitor blocks any steady-state DC current once fully charged.
- Initially, a capacitor allows current to flow, but as it charges, it eventually reaches a point where it acts as an open circuit, thus preventing further current flow.
Understanding these principles can greatly enhance your grasp of how capacitors function within DC circuits, important for various applications in electronics.
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For a d.c circuit, the value of capacitive reactance Xc is a) zero b) infinity c) π/2 d) π?
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