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In the circuit shown in the figure, in s...

In the circuit shown in the figure, in steady state:
The current drawn from the battery is

A

`2 A`

B

`3 A`

C

`4 A`

D

`1 A`

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The correct Answer is:
To find the current drawn from the battery in the given circuit in steady state, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Circuit Configuration**: - In steady state, capacitors behave as open circuits. Therefore, no current flows through the capacitors. 2. **Identify the Resistors in the Circuit**: - The resistors in the circuit are connected in series. Let's denote their resistances as follows: - R1 = 4 ohms - R2 = 2 ohms - R3 = 2 ohms - R4 = 2 ohms 3. **Calculate the Equivalent Resistance (R_eq)**: - Since the resistors are in series, the equivalent resistance can be calculated by simply summing up all the resistances: \[ R_{eq} = R1 + R2 + R3 + R4 = 4 + 2 + 2 + 2 = 10 \text{ ohms} \] 4. **Apply Ohm's Law**: - Ohm's Law states that \( V = I \times R \), where: - \( V \) is the voltage across the circuit, - \( I \) is the current flowing through the circuit, - \( R \) is the equivalent resistance. - Rearranging the formula to find the current gives us: \[ I = \frac{V}{R_{eq}} \] 5. **Substitute the Values**: - Assuming the voltage \( V \) from the battery is 10 volts (as inferred from the context), we substitute the values into the equation: \[ I = \frac{10 \text{ volts}}{10 \text{ ohms}} = 1 \text{ ampere} \] 6. **Conclusion**: - The current drawn from the battery in steady state is 1 ampere. ### Final Answer: The current drawn from the battery is **1 ampere**. ---
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