Consider a System of Three Resistors in Parallel What is the total resistance of

Question

Consider a System of Three Resistors in Parallel What is the total resistance of the system? Denote this resistance R. If the system of resistors is hooked up to a battery that provides a voltage V. What is the total current flowing through the system? Denote this current I. What is the current through R1? What is the current through R2? What is the current through R3? What is the voltage drop across R1? What is the voltage drop across R2? What is the voltage drop across R3? Does the sum of the currents throught each resistor equal the total current flowing through the system? (This is an example of Kirchhoff's Current Law.)

Explanation / Answer

a) 1/R = 1/R1 + 1/R2 + 1/R3
b) V = IR
I = V/R
c)
I1 = V/R1
I2 = V/R2
I3 = V/R3

V1=V2=V3 = V
d)
yes

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