Find the conductance of each of the following resistances: a. 120Ω b. 4kΩ c. 2.2MΩ d. Compare the three results.
Question:
Find the conductance of each of the following resistances: a. 120Ω b. 4kΩ c. 2.2MΩ d. Compare the three results.
This is AI generated Response.
Asked by: Vinay Nani
Created at: 2025-09-09 07:27:35
Asked by: Vinay Nani
Created at: 2025-09-09 07:27:35
Final Answer:
Rendered
Raw Text
Did you like this answer?
Let’s solve each part step by step.
### **Conductance (G)**
Conductance is the reciprocal of resistance:
\[
G = \frac{1}{R}
\]
where:
- \( G \) = conductance in siemens (S)
- \( R \) = resistance in ohms (Ω)
---
### **(a) \( R = 120\,\Omega \)**
\[
G = \frac{1}{120}
\]
\[
G = 0.00833\,\text{S}
\]
Or, in millisiemens:
\[
G = 8.33\,\text{mS}
\]
---
### **(b) \( R = 4\,k\Omega = 4000\,\Omega \)**
\[
G = \frac{1}{4000}
\]
\[
G = 0.00025\,\text{S}
\]
Or, in microsiemens:
\[
G = 250\,\mu\text{S}
\]
---
### **(c) \( R = 2.2\,M\Omega = 2,200,000\,\Omega \)**
\[
G = \frac{1}{2,200,000}
\]
\[
G \approx 0.0000004545\,\text{S}
\]
Or, in microsiemens:
\[
G \approx 0.4545\,\mu\text{S}
\]
---
### **(d) Comparison**
- **120 Ω:** Highest conductance (\(8.33\,\text{mS}\))
- **4 kΩ:** Much lower conductance (\(250\,\mu\text{S}\)), about **1/33rd** of the first.
- **2.2 MΩ:** Extremely low conductance (\(0.4545\,\mu\text{S}\)), about **1/550th** of the second, and **1/18,333rd** of the first.
**Conclusion:**
As resistance increases, conductance decreases rapidly. 120Ω offers much less opposition to current (high conductance), while 2.2MΩ offers very high opposition (very low conductance).
---
### **Summary Table**
| Resistance | Conductance (S) | Conductance (mS or µS) |
|------------------|-----------------|------------------------|
| 120 Ω | 0.00833 | 8.33 mS |
| 4 kΩ | 0.00025 | 250 µS |
| 2.2 MΩ | 0.0000004545 | 0.4545 µS |
📢 Instructions:
- Ask anything relatd to above question only.
- For new Question goto :
VIPSolutions