Two conductors A and B resistance `5 omega and 10 omega` respectively are first joined in parallel and then in series. In each case the voltage applied is 20 V.
Which of these circuit diagram shows the correct connection when A and B are joined in parallel?

Options

A.
B.
C.
D. none of these

Explanation

To determine the correct circuit diagram that shows the connection when conductors A and B are joined in parallel, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Parallel Connections**:
- In a parallel circuit, the voltage across each component is the same. Thus, if two resistors are connected in parallel, they share the same voltage across their terminals.

2. **Identifying the Resistors**:
- We have two resistors:
- Resistor A with a resistance of \(5 \, \Omega\)
- Resistor B with a resistance of \(10 \, \Omega\)

3. **Voltage Applied**:
- The voltage applied across the parallel connection is \(20 \, V\).

4. **Circuit Diagram for Parallel Connection**:
- In a parallel configuration, both resistors A and B should be connected across the same two points (let's call them points C and D).
- This means that one terminal of resistor A is connected to point C and the other terminal to point D. The same applies to resistor B.

5. **Visual Representation**:
- The correct diagram will show both resistors connected to the same two nodes (C and D), indicating that they are in parallel.
- The current will divide between the two resistors, but the voltage across each will remain \(20 \, V\).

6. **Conclusion**:
- After analyzing the provided options, the correct circuit diagram that shows the connection of A and B in parallel is the one where both resistors are connected across the same two points (C and D).