Physic Labs

Problem 2

Resistors R1,R2R_1,R_2 are in series across an ideal source of emf E\mathcal E. Find the current and voltage across each resistor. The ideal source has emf E\mathcal{E} and the resistors are ohmic with positive values. (a) Find the equivalent resistance and circuit current. (b) Determine the voltage drop across each resistor. (c) Find the total power and check the voltage balance. Express each answer in terms of the supplied parameters, using SI units for any numerical evaluation. State the assumptions used, check dimensions at each result, and compare with the governing law to catch a sign error or a missing condition.
Req=R1+R2R_{\rm eq}=R_1+R_2
problems.proof.analysis

First isolate the parts of the system linked by the stated constraint and choose the governing law; this puts the quantities under a consistent convention. The idealizations exclude interactions not included in the model.

problems.proof.pitfall. Do not omit the sign convention or the model’s physical condition; check the limiting case before accepting a solution.