R, R3 Figure 21.3 Three resistors connected in series to a battery (left) and the equivalent single or series resistance (right). To verify that resistances in series do indeed add, let us consider the loss of electrical power, called a voltage drop, in each resistor in Figure 21.3.
Suppose the voltage output of the battery in Figure 21.3 is 12.0 V , and the resistances are R1 = 1.00 Ω , R2 = 6.00 Ω , and R3 = 13.0 Ω . (a) What is the total resistance? (b) Find the current. (c) Calculate the voltage drop in each resistor, and show these add to equal the voltage output of the source. (d) Calculate the power dissipated by each resistor. (e) Find the power output of the source, and show that it equals the total power dissipated by the resistors.


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