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A 30-volt source battery is connected in series with the 6-load resistors namely 1 ohm, 2 ohms, 3 ohms, R ohms, 5 ohms, and 6 ohms respectively. If the total power is 30 watts, find the value of R in resistance and its current drawn as well as the total resistance

(a) provide solution
(b) provide circuit diagram

P = E^2/R = 30^2/(1+2+3+R+5+6) = 30

(1+2+3+R+5+6) = 30
R = 13

Did you know?

Did you know that when a 30-volt source battery is connected in series with 6 load resistors, the total power consumed by the resistors can be calculated? To find the value of resistor R, we can use the power formula: power (P) = voltage (V) ^ 2 / resistance (R). Since the total power is given as 30 watts, we can calculate the equivalent resistance (Req) using the formula: Req = V^2 / P. The circuit diagram for this setup would show a 30-volt source battery connected in series with resistors of 1 ohm, 2 ohms, 3 ohms, R ohms, 5 ohms, and 6 ohms respectively. By calculating the power consumption, we can determine the value of resistor R. Additionally, knowing the voltage and resistance values allows us to calculate the current drawn by resistor R using Ohm's Law: current (I) = V / R, where V is the voltage across the resistor. Understanding the total resistance of a circuit is crucial for designing and analyzing electrical systems.