Answer to Question #316478 in Electric Circuits for Ivo

Question

Three resistors with values of 60.0Ω, 30.0 Ω, and 20.0 Ω, respectively, are

connected in series to a 110.0 V battery of negligible internal resistance. (a) Draw a circuit diagram and find the (b) equivalent resistance of the combined resistors, (c) current flowing through each resistor, (d) voltage drop across each resistor.

Answer 1

Explanations & Calculations

a)

b)

$\qquad\qquad \begin{aligned} \small R_{eq}&=\small 20+30+60=110\,\Omega \end{aligned}$

c)

$\qquad\qquad \begin{aligned} \small i&=\small \frac{110.0\,V}{110\Omega} = 1\,A \end{aligned}$

• This current flows through each resistor as they are connected in series.

d)

$\qquad\qquad \begin{aligned} \small V_{20}&=\small iR=1A\times20\Omega=20\,V\\ \small V_{30}&=\small 30\,V\\ \small V_{60}&=\small 60\,V \end{aligned}$