What is the formula for calculating the current (I) in an RC circuit after a tim

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Question: What is the formula for calculating the current (I) in an RC circuit after a time (t) when a voltage (V) is applied?

Options:

Correct Answer: I = V(1 - e^(-t/RC))

Solution:

The current in an RC circuit after a time t is given by I = V(1 - e^(-t/RC)), where V is the voltage, R is the resistance, and C is the capacitance.

What is the formula for calculating the current (I) in an RC circuit after a time (t) when a voltage (V) is applied?

What is the formula for calculating the current (I) in an RC circuit after a time (t) when a voltage (V) is applied?

Step 1: Understand that an RC circuit consists of a resistor (R) and a capacitor (C) connected to a voltage source (V).
Step 2: Recognize that when the voltage is applied, the capacitor starts charging, and the current (I) changes over time.
Step 3: The formula to calculate the current (I) at any time (t) after the voltage is applied is I = V(1 - e^(-t/RC)).
Step 4: In this formula, 'e' is a mathematical constant approximately equal to 2.71828, and it represents the base of natural logarithms.
Step 5: 't' is the time in seconds after the voltage is applied, 'R' is the resistance in ohms, and 'C' is the capacitance in farads.
Step 6: To use the formula, plug in the values for V, R, C, and t to find the current (I) at that specific time.

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