Answer to Question #117458 in Electric Circuits for N

Question

Seven resistors, all the same value, are connected in series as shown . If the current in the circuit is 40 mA, what is the value of each resistor? (voltage= 14V)

Answer 1

We know that each resistor carries the same current if the resistors are connected in series. Also, we know that if we connect n equal resistors in series, their total resistance R will be

$$R=nr.$$

According to Ohm's law, find the resistance in terms of voltage and current:

$$R=nr=\frac{V}{I},\rightarrow r=\frac{V}{nI},\\ r=\frac{14}{7\cdot0.04}=50\space\Omega.$$