This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
C) 20 \Omega
Here's the analysis of the given electric circuit:
i) The equivalent resistance of the network:
Step 1: Identify the resistors and their connection. The circuit shows two resistors, and , connected in parallel.
Step 2: Calculate the equivalent resistance () for parallel resistors. The formula for two resistors in parallel is:
Step 3: Substitute the values and calculate the equivalent resistance.
Step 4: Select the correct option. Comparing with the given options: A) , B) , C) , D) . The correct option is .
ii) The total electric current I in the circuit:
Step 1: Identify the total voltage and equivalent resistance. The dry cell provides a voltage . The equivalent resistance of the circuit is (calculated in part i).
Step 2: Apply Ohm's Law to find the total current. Ohm's Law states .
Step 3: Substitute the values and calculate the total current.
Step 4: Select the correct option. Comparing with the given options: A) , B) , C) , D) . The correct option is .
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Here's the analysis of the given electric circuit: i) The equivalent resistance of the network: Step 1: Identify the resistors and their connection.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.