What would be the power consumed in the combined parallel section of the circuit shown in the illustration if the source voltage was 30 volts and the resistance for R1 is 10 ohms, R2 is 10 ohms, and R3 is 10 ohms, respectively? See illustration EL-0032.
• Parallel vs. series resistance – how to find the equivalent resistance of R1 and R2 when they are in parallel • Ohm’s Law: ( I = \frac{E}{R} ) and power formulas: ( P = EI = I^2R = \frac{E^2}{R} ) • How voltage behaves in a series–parallel circuit (same voltage across parallel branches, current divides)
• First, focus only on the section that is clearly in parallel in figure B. Which resistors share the same two connection points with each other? • Once you have the equivalent resistance of that parallel pair, what is the voltage across that pair, considering there is another resistor in series (R3)? • After you know the voltage across the parallel section, which power formula is easiest to apply to that part of the circuit alone?
• Be sure you correctly compute the equivalent resistance of R1 and R2 in parallel using ( R_{eq} = \left( \frac{1}{R_1} + \frac{1}{R_2} \right)^{-1} ) • Confirm what portion of the 30 V source actually appears across the parallel combination (you may need to find total circuit resistance first). • After finding power, check if your value is reasonable compared to the total power from the source (it cannot exceed total power and should be a significant fraction of it).
No comments yet
Be the first to share your thoughts!