(A) : In Ampere Maxwell law, displacement current has same physical effect as conduction current. (R) : The units and dimensions of displacement current and conduction current are same.

Options

A. Both 'A' and 'R' are true and 'R' is the correct explanation of 'A'.
B. Both 'A' and ’R' are true and 'R' is not the correct explanation of 'A
C. A' is true and 'R' is false
D. 'A' is false and R' is true

Answer

To solve the question, we need to analyze both the assertion (A) and the reason (R) provided:

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that "In Ampere-Maxwell law, displacement current has the same physical effect as conduction current."
- In the context of Ampere-Maxwell law, both conduction current (I_c) and displacement current (I_d) contribute to the total current in a circuit. The law can be expressed as:
\[ \oint \mathbf{B} \cdot d\mathbf{L} = \mu_0 (I_c + I_d) \]
- Here, \(I_c\) is the conduction current, which is the flow of charge due to electric field in a conductor, while \(I_d\) is the displacement current, which arises due to a changing electric field in regions where there is no conduction current (like in a capacitor).

2. **Understanding the Reason (R)**:
- The reason states that "The units and dimensions of displacement current and conduction current are the same."
- The displacement current \(I_d\) is defined as:
\[ I_d = \epsilon_0 \frac{d\Phi_E}{dt} \]
- Here, \(\epsilon_0\) is the permittivity of free space and \(\Phi_E\) is the electric flux. The units of displacement current \(I_d\) are the same as that of conduction current \(I_c\), which is Amperes (A).

3. **Conclusion**:
- Both the assertion and the reason are true statements. However, the reason does not provide a correct explanation for the assertion. The assertion is about the physical effect of both types of current, while the reason discusses their units and dimensions.

### Final Answer:
- Both (A) and (R) are true, but (R) is not the correct explanation of (A).