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In an RC circuit, the resistor is [tex]$50 \, \text{K}\Omega$[/tex] and the capacitor is [tex]$60 \, \mu \text{F}$[/tex]. What is the time constant when the capacitor is being charged?

A. 3000 seconds
B. 300 seconds
C. 30 seconds
D. 3 seconds

Answer :

Final answer:

The time constant when the capacitor is being charged in the given RC circuit is 3 seconds.

Explanation:

In an RC circuit, the time constant (τ) is calculated by multiplying the resistance (R) and the capacitance (C) of the circuit.

Given:

  • Resistance (R) = 50K Ω
  • Capacitance (C) = 60 μF

To find the time constant, we can use the formula:

Time constant (τ) = R * C

Substituting the given values:

Time constant (τ) = 50K Ω * 60 μF

Converting 50K Ω to 50,000 Ω and 60 μF to 0.00006 F:

Time constant (τ) = 50,000 Ω * 0.00006 F

Calculating the product:

Time constant (τ) = 3 seconds

Therefore, the time constant when the capacitor is being charged is 3 seconds.

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