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Calculate the current l in the following...

Calculate the current l in the following circuit, if all the diodes are ideal. All resistances are `200 Omega`

A

Zero

B

`1 A`

C

`2 A`

D

`4 A`

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The correct Answer is:
To calculate the current \( I \) in the given circuit with ideal diodes and resistances of \( 200 \, \Omega \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Circuit Configuration**: - The circuit consists of multiple branches with diodes and resistors. The resistors are all \( 200 \, \Omega \), and we have a voltage supply of \( 200 \, V \). 2. **Determine the State of the Diodes**: - Since the diodes in branches GH and CD are reverse-biased, they do not conduct current. Therefore, we can ignore these branches for the current calculation. - The only branch that conducts current is branch EF, where the diode is forward-biased. 3. **Apply Ohm's Law**: - Ohm's Law states that \( V = I \times R \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance. - We will use this law to find the current through the conducting branch (EF). 4. **Calculate the Current**: - The voltage across the conducting branch EF is \( 200 \, V \). - The resistance in this branch is \( 200 \, \Omega \). - Using Ohm's Law, we can rearrange it to find the current: \[ I = \frac{V}{R} = \frac{200 \, V}{200 \, \Omega} = 1 \, A \] 5. **Conclusion**: - The current \( I \) in the circuit is \( 1 \, A \). ### Final Answer: The current \( I \) in the circuit is \( 1 \, A \).
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