7.17 In deriving the expression for small-signal voltage gain Av in Eq. (7.21) we neglected the Early effect. Derive this expression including the Early effect by substituting i C = ISevBE /VT 1+ vVCE A  in Eq. (7.4) and including the factor 1+VCE/VA in Eq. (7.11). Show that the gain expression changes to A v = −I CRC/VT 1+ IC R C VA +VCE = − VCC −VCEVT 1+ V CC −VCE VA +VCE For the case V CC = 5 V and VCE = 3 V, what is the gain without and with the Early effect taken into account? Let V A = 100 V.

17 13 - 7.17 In deriving the expression for small-signal voltage gain Av in Eq. (7.21) we neglected the Early effect. Derive this expression including the Early effect by substituting i C = ISevBE /VT 1+ vVCE A  in Eq. (7.4) and including the factor 1+VCE/VA in Eq. (7.11). Show that the gain expression changes to A v = −I CRC/VT 1+ IC R C VA +VCE = − VCC −VCEVT 1+ V CC −VCE VA +VCE For the case V CC = 5 V and VCE = 3 V, what is the gain without and with the Early effect taken into account? Let V A = 100 V.

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images - 7.17 In deriving the expression for small-signal voltage gain Av in Eq. (7.21) we neglected the Early effect. Derive this expression including the Early effect by substituting i C = ISevBE /VT 1+ vVCE A  in Eq. (7.4) and including the factor 1+VCE/VA in Eq. (7.11). Show that the gain expression changes to A v = −I CRC/VT 1+ IC R C VA +VCE = − VCC −VCEVT 1+ V CC −VCE VA +VCE For the case V CC = 5 V and VCE = 3 V, what is the gain without and with the Early effect taken into account? Let V A = 100 V.

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