Physic Labs

Problem 2

Two resistors R1R_1 and R2R_2 are connected in parallel to an ideal voltage source VV. Find the equivalent resistance, current through each resistor, and total power supplied by the source. Assume the string, pulley, electrical source, or optical apparatus is ideal as stated, and neglect any effect not specified. State a clear sign convention, identify the physical Keep one model and sign convention throughout. Reuse each intermediate result with the same convention, then check that the answer has the required physical dimensions. (a) Set up the physical relation. (b) Find an intermediate quantity. (c) Obtain the answer and check its conditions and units.
I=I1+I2=V(1/R1+1/R2)I=I_1+I_2=V(1/R_1+1/R_2)
problems.proof.analysis

Kirchhoff’s current law says source current is the sum of branch currents. This is consistent with the stated model and the chosen sign convention.

problems.proof.pitfall. Parallel components have the same voltage; current divides inversely with resistance.