Physic Labs

Problem 2

An ideal source of voltage VV is in series with a resistor R0R_0. Two identical resistors RR are connected in parallel across this source. Find the total current and the power dissipated in each resistor $R. 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=V/(R0+R/2)I=V/(R_0+R/2)
problems.proof.analysis

Apply Ohm’s law to the complete loop to obtain the current drawn from the ideal source. This is consistent with the stated model and the chosen sign convention.

problems.proof.pitfall. Parallel resistors share voltage, not current; equal current follows only when their resistances are equal.