1.6 Exercises

Analysis Problems

1. For the circuit of Figure 1.6.1, determine 𝐼_𝐷 and 𝑉_𝐷𝑆. 𝐼_𝐷𝑆𝑆 = 40 mA, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −4 V, 𝑉_𝐷𝐷 = 26 V, 𝑉_𝐺𝐺 = −2 V, 𝑅_𝐺 = 220 kΩ, 𝑅_𝐷 = 1.2 kΩ.
2. For the circuit of Figure 1.6.1, determine 𝐼_𝐷 and 𝑉_𝐷𝑆. 𝐼_𝐷𝑆𝑆 = 20 mA, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −3 V, 𝑉_𝐷𝐷 = 22 V, 𝑉_𝐺𝐺 = −1 V, 𝑅_𝐺 = 390 kΩ, 𝑅_𝐷 = 1 kΩ.
   

   

3. For the circuit of Figure 1.6.2, determine 𝐼_𝐷, 𝑉_𝐺 and 𝑉_𝐷. 𝐼_𝐷𝑆𝑆 = 24 mA, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −6 V, 𝑉_𝐷𝐷 = 36 V, 𝑅_𝐺 = 220 kΩ, 𝑅_𝑆 = 2 kΩ, 𝑅_𝐷 = 1.8 kΩ.
4. For the circuit of Figure 1.6.2, determine 𝐼_𝐷, 𝑉_𝑆 and 𝑉_𝐷𝑆. 𝐼_𝐷𝑆𝑆 = 18 mA, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −3 V, 𝑉_𝐷𝐷 = 30 V, 𝑅_𝐺 = 270 kΩ, 𝑅_𝑆 = 2.7 kΩ, 𝑅_𝐷 = 3.3 kΩ.
5. For Figure 1.6.3, determine 𝐼_𝐷, 𝑉_𝐺 and 𝑉_𝐷. 𝐼_𝐷𝑆𝑆 = 16 mA, 𝑉_𝐷𝐷 = 25 V, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −3 V, 𝑉_𝑆𝑆 = −6 V, 𝑅_𝐺 = 560 kΩ, 𝑅_𝑆 = 2 kΩ, 𝑅_𝐷 = 3.6 kΩ.
6. For Figure 1.6.3, determine 𝐼_𝐷, and 𝑉_𝐷𝑆. 𝐼_𝐷𝑆𝑆 = 16 mA, 𝑉_𝐷𝐷 = 25 V, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −3 V, 𝑉_𝑆𝑆 = −9 V, 𝑅_𝐺 = 680 kΩ, 𝑅_𝑆 = 2 kΩ, 𝑅_𝐷 = 2.7 kΩ.
   

   

7. For Figure 1.6.4, determine 𝐼_𝐷, 𝑉_𝐺 and 𝑉_𝐷. 𝐼_𝐷𝑆𝑆 = 16 mA, 𝑉_𝐷𝐷 = 25 V, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −3 V, 𝑉_𝐸𝐸 = −9 V, 𝑅_𝐺 = 810 kΩ, 𝑅_𝐸 = 2 kΩ, 𝑅_𝐷 = 2.7 kΩ.
8. For the circuit of Figure 1.6.4, determine 𝐼_𝐷 and 𝑉_𝐷𝑆. 𝐼_𝐷𝑆𝑆 = 40 mA, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −4 V, 𝑉_𝐷𝐷 = 30 V, 𝑉_𝐸𝐸 = −6 V, 𝑅_𝐺 = 750 kΩ, 𝑅_𝐸 = 500 Ω, 𝑅_𝐷 = 1.8 kΩ.

Design Problems

9. Using the circuit of Figure 1.6.2, determine a value for 𝑅_𝑆 to set 𝐼_𝐷 to 4 mA. 𝐼_𝐷𝑆𝑆 = 10 mA, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −2 V, 𝑉_𝐷𝐷 = 20 V, 𝑅_𝐺 = 430 kΩ, 𝑅_𝐷 = 1.8 kΩ.
10. Using the circuit of Figure 1.6.1, determine a value for 𝑉_𝐺𝐺 to set 𝐼_𝐷 to 2 mA. 𝐼_𝐷𝑆𝑆 = 10 mA, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −4 V, 𝑉_𝐷𝐷 = 28 V, 𝑅_𝐺 = 470 kΩ, 𝑅_𝐷 = 4.7 kΩ.
11. Using the circuit of Figure 10.6.410.6.4, determine a value for 𝑅_𝐸 to set 𝐼_𝐷 to 4 mA. 𝐼_𝐷𝑆𝑆 = 18 mA, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −3 V, 𝑉_𝐷𝐷 = 25 V, 𝑉_𝐸𝐸 = −12 V, 𝑅_𝐺 = 330 kΩ, 𝑅_𝐷 = 2.2 kΩ.
12. Using the circuit of Figure 1.6.4, determine values for 𝑅_𝐸 and 𝑅_𝐷 to set 𝐼_𝐷 to 5 mA and 𝑉_𝐷 to 6 V. 𝐼_𝐷𝑆𝑆 = 20 mA, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −4 V, 𝑉_𝐷𝐷 = 32 V, 𝑉_𝐸𝐸 = −10 V, 𝑅_𝐺 = 390 kΩ.

Challenge Problems

13. Following the derivation of Equation 10.4.2, derive Equation 10.4.4.
14.  Using the circuit of Figure 1.6.3, determine values for 𝑅_𝑆 and 𝑉_𝑆𝑆 to set 𝐼_𝐷 to 4 mA. 𝐼_𝐷𝑆𝑆 = 16 mA, 𝑉_{𝐺𝑆(𝑜𝑓𝑓)} = −4 V, 𝑉_𝐷𝐷 = 30 V, 𝑅_𝐺 = 680 kΩ, 𝑅_𝐷 = 2 kΩ.

Computer Simulation Problems

15.  Perform a DC operating point simulation on the circuit of Problem 7 to verify the results. The J111 will be sufficient.
16. Perform a DC operating point simulation on the circuit of Problem 10 to verify the results. The J111 will be sufficient.

Department of Marginal Utility

The graphs of Figure 10.4.13 represent three slices from this surface.

Looks cool, but…