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Given the information appearing in Fig. 4.119, determine: a) IC, b) RC, c) RB

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: Given the information appearing in Fig. 4.119, determine:
Given: VCC=12 VV_{CC} = 12 \, \text{V}, IB=40 μAI_B = 40 \, \mu\text{A}, VC=6 VV_C = 6 \, \text{V}, β=80\beta = 80. The emitter is grounded, so VE=0 VV_E = 0 \, \text{V}.

a) ICI_C

  1. Use the relationship between collector current and base current.

    IC=βIBI_C = \beta I_B
  2. Substitute the given values.

    IC=80×(40×10−6 A)I_C = 80 \times (40 \times 10^{-6} \, \text{A})
  3. Calculate ICI_C.

    IC=3200×10−6 A=3.2 mAI_C = 3200 \times 10^{-6} \, \text{A} = 3.2 \, \text{mA}

    The collector current is 3.2 mA\boxed{\text{3.2 mA}}.

    b) RCR_C

  4. Calculate the voltage drop across RCR_C.

    VRC=VCC−VCV_{R_C} = V_{CC} - V_C VRC=12 V−6 V=6 VV_{R_C} = 12 \, \text{V} - 6 \, \text{V} = 6 \, \text{V}
  5. Use Ohm's Law to find RCR_C.

    RC=VRCICR_C = \frac{V_{R_C}}{I_C}
  6. Substitute the values.

    RC=6 V3.2×10−3 AR_C = \frac{6 \, \text{V}}{3.2 \times 10^{-3} \, \text{A}}
  7. Calculate RCR_C.

    RC=1875 Ω=1.875 kΩR_C = 1875 \, \Omega = 1.875 \, \text{k}\Omega

    The collector resistor is 1.875 kΩ\boxed{\text{1.875 k}\Omega}.

    c) RBR_B

  8. Assume VBE=0.7 VV_{BE} = 0.7 \, \text{V} for a silicon transistor.

    Since VE=0 VV_E = 0 \, \text{V}, VB=VBEV_B = V_{BE}.

    VB=0.7 VV_B = 0.7 \, \text{V}
  9. Calculate the voltage drop across RBR_B.

    VRB=VCC−VBV_{R_B} = V_{CC} - V_B VRB=12 V−0.7 V=11.3 VV_{R_B} = 12 \, \text{V} - 0.7 \, \text{V} = 11.3 \, \text{V}
  10. Use Ohm's Law to find RBR_B.

    RB=VRBIBR_B = \frac{V_{R_B}}{I_B}
  11. Substitute the values.

    RB=11.3 V40×10−6 AR_B = \frac{11.3 \, \text{V}}{40 \times 10^{-6} \, \text{A}}
  12. Calculate RBR_B.

    RB=282500 Ω=282.5 kΩR_B = 282500 \, \Omega = 282.5 \, \text{k}\Omega

    The base resistor is 282.5 kΩ\boxed{\text{282.5 k}\Omega}.

    d) VCEV_{CE}

  13. Use the definition of VCEV_{CE}.

    VCE=VC−VEV_{CE} = V_C - V_E
  14. Substitute the given values.

    VCE=6 V−0 VV_{CE} = 6 \, \text{V} - 0 \, \text{V}
  15. Calculate VCEV_{CE}.

    VCE=6 VV_{CE} = 6 \, \text{V}

    The collector-emitter voltage is 6 V\boxed{\text{6 V}}.


    : Given the information appearing in Fig. 4.120, determine:
    Given: IB=20 μAI_B = 20 \, \mu\text{A}, RC=2.2 kΩR_C = 2.2 \, \text{k}\Omega, VCE=7.2 VV_{CE} = 7.2 \, \text{V}, IE=4 mAI_E = 4 \, \text{mA}. The emitter is grounded, so VE=0 VV_E = 0 \, \text{V}.

    a) ICI_C

  16. Use the relationship between emitter, collector, and base currents.

    IE=IC+IBI_E = I_C + I_B
  17. Rearrange to solve for ICI_C.

    IC=IE−IBI_C = I_E - I_B
  18. Substitute the given values.

    IC=(4×10−3 A)−(20×10−6 A)I_C = (4 \times 10^{-3} \, \text{A}) - (20 \times 10^{-6} \, \text{A}) IC=0.004 A−0.00002 AI_C = 0.004 \, \text{A} - 0.00002 \, \text{A}
  19. Calculate ICI_C.

    IC=0.00398 A=3.98 mAI_C = 0.00398 \, \text{A} = 3.98 \, \text{mA}

    The collector current is 3.98 mA\boxed{\text{3.98 mA}}.

    b) VCCV_{CC}

  20. Calculate the collector voltage VCV_C.

    Since VE=0 VV_E = 0 \, \text{V}.

    VC=VCE+VEV_C = V_{CE} + V_E VC=7.2 V+0 V=7.2 VV_C = 7.2 \, \text{V} + 0 \, \text{V} = 7.2 \, \text{V}
  21. Calculate VCCV_{CC} using the voltage drop across RCR_C.

    VCC=VC+ICRCV_{CC} = V_C + I_C R_C
  22. Substitute the values.

    VCC=7.2 V+(3.98×10−3 A)×(2.2×103 Ω)V_{CC} = 7.2 \, \text{V} + (3.98 \times 10^{-3} \, \text{A}) \times (2.2 \times 10^3 \, \Omega) VCC=7.2 V+8.756 VV_{CC} = 7.2 \, \text{V} + 8.756 \, \text{V}
  23. Calculate VCCV_{CC}.

    VCC=15.956 VV_{CC} = 15.956 \, \text{V}

    The supply voltage is 15.956 V\boxed{\text{15.956 V}}.

    c) β\beta

  24. Use the definition of β\beta.

    β=ICIB\beta = \frac{I_C}{I_B}

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