Consider the following figure. Find the equivalent resistance between points a a

Question

Consider the following figure. Find the equivalent resistance between points a and b in the figure. (R = 12.5 Ohm) Calculate the current in each resistor if a potential difference of 79.0 V is applied between points a and b. The 7.00-Ohm and the R = 12.5 Ohm resistors between points c and d in the figure above are connected in parallel with each other. Thus we can redraw the figure, as shown in the diagram below where R is the equivalent resistance between points c and d in the original figure. For the equivalent resistance, we have This resistance is in series with the 4.00-Ohm and the 9.00-Ohm resistors as shown in the diagram in this step. Let Rs represent the 4.00-Ohm resistance and Rs the 9.00-Ohm resistance. The total resistance Rs between points a and b is then If the potential difference between points a and b is Delta V = 79.0 V, then the current I between points a and b is Let Ic represent the current in the 4.00-Ohm resistor and the current in the 9.00-Ohm resistor. The total current exists in both of these resistors, so we have Let be the current in the resistor Rcd (between points c and d). Since the potential difference between points c and d is

Explanation / Answer

12.5 ohms

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