A triode is operated in the liner region of its characteristics. If the plate voltage is slightly increased, the dynamic plate resistance will

Options

A. increase
B. decrease
C. remain almost the same
D. become zero

Answer

To solve the question regarding the dynamic plate resistance of a triode when the plate voltage is slightly increased, we can break it down into the following steps:

### Step-by-Step Solution:

1. **Understanding the Triode Operation**:
- A triode consists of three electrodes: the cathode, the anode (or plate), and the control grid. When a voltage is applied to the plate (Vp) and the grid (Vg), it allows current (Ip) to flow through the triode.

2. **Dynamic Plate Resistance Definition**:
- The dynamic plate resistance (Rp) is defined as the ratio of the change in plate voltage (ΔVp) to the change in plate current (ΔIp) when the triode operates in the linear region. Mathematically, it is expressed as:
\[ R_p = \frac{\Delta V_p}{\Delta I_p} \]

3. **Linear Region Characteristics**:
- In the linear region of the triode's characteristics, the relationship between the changes in plate voltage and plate current is linear. This means that if the plate voltage is increased slightly, the corresponding change in plate current will also be proportional.

4. **Effect of Increasing Plate Voltage**:
- When the plate voltage (Vp) is slightly increased, the change in plate current (Ip) will also occur. However, in the linear region, these changes are proportional and thus:
\[ \Delta V_p \approx \Delta I_p \]

5. **Conclusion on Dynamic Plate Resistance**:
- Since the changes in voltage and current are approximately equal in the linear region, the dynamic plate resistance (Rp) remains almost the same when the plate voltage is slightly increased.

6. **Final Answer**:
- Therefore, the dynamic plate resistance will remain almost the same when the plate voltage is slightly increased.