(a) the equivalent resistance, (b) V0,

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Presentation transcript:

(a) the equivalent resistance, (b) V0, For the system of resistors shown below R1=2, R2=3, R3=6, and R4=4. If I=2A calculate (a) the equivalent resistance, (b) V0, (c) the current through each resistor, and (d) the potential difference across each resistor. R1=2 R2=3 R3=6 R4=4 V0 I=2

(a) Calculate the equivalent resistance. R2 and R3 are in parallel. I=2 R1=2 R2 =3 R3=6 V0 R4=4 R1, R23, and R4 are in series. I=2 R1=2 V0 R23=2 R4=4

(b) Calculate V0. I=2 V0 Req=8

(c) Calculate the current through each resistor. I1 = I4 = 2 A I=2 R1=2 R2 =3 R3=6 V0 R4=4 Check: I2 + I3 = 4/3 + 2/3 = 2 A, as it must be.

(d) Calculate the potential difference across each resistor. V1 = IR1 = (2)(2) = 4 V I=2 R1=2 R2 =3 R3=6 V0 Calculated in part (c). R4=4 V4 = IR4 = (2)(4) = 8 V Check: V1 + V23 + V4 = 4 + 4 + 8 = 16 V. Agrees with part (c).