# Whatisi2 wehave3equationsand3unknowns i2i1i3

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Unformatted text preview: (D) is an attempt to write down KVR for the top loop Start at negative terminal of V2 and go clockwise • Vgain (­V2) then Vgain (­I2R2) then Vgain (­I1R1) then Vdrop (+V1) R1 V1 R2 V2 R3 V3 I1 Calculation Calculation I2 I3 • We have the following 4 equations: 1. I2 = I1 + I3 2. ­ V1 + I1R1 ­ I3R3 + V3 = 0 3. ­ V3 + I3R3 + I2R2 + V2 = 0 4. ­ V2 – I2R2 ­ I1R1 + V1 = 0 • Why?? – – – In this circuit, assume Vi and Ri are known. What is I2 ?? We ne e d 3 e q ua tio ns : Wh ic h 3 s h o uld we us e ? A) Any 3 will d o B) 1 , 2 , a nd 4 C ) 2 , 3 , a nd 4 We need 3 INDEPENDENT equations Equations 2, 3, and 4 are NOT INDEPENDENT • Eqn 2 + Eqn 3 = ­ Eqn 4 We must choose Eqn 1 and any two of the remaining ( 2, 3, and 4) BB R1 V1 R2 V2 R3 R 2R R V3 2V V V I1 I2 I3 Calculation Calculation In this c...
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