91Ó°ÊÓ

A stream of charged particles, such as electrons or ions, traveling through an electrical conductor or space is known as an electric current. The net rate of flow of electric charge through a surface or into a control container is monitored.

(a)

Consider the given parameters and find the total current,

Voltage in the circuit is,$\mathrm{V}=120\mathrm{V}$

Power in the circuit can be given as,

$\mathrm{P}=\mathrm{Vl}$…â¶Ä¦â¶Ä¦â¶Ä¦..(1)

Therefore, the current drawn by the toaster can be expressed as,

$$\begin{gathered} {\mathrm{I}}_{\mathrm{t}}=\frac{\mathrm{P}}{\mathrm{V}} \\ =\frac{1800\mathrm{W}}{120\mathrm{V}} \\ =15\mathrm{A} \end{gathered}$$

Current drawn by the electric frying pan,

$$\begin{gathered} {\text{I}}_{pan}=\frac{P}{V} \\ =\frac{1400W}{120V} \\ =11.67A \end{gathered}$$

Current drawn by the lamp,

$$\begin{gathered} {\mathrm{I}}_{\mathrm{Lamp}}=\frac{\mathrm{P}}{\mathrm{V}} \\ =\frac{75\mathrm{W}}{120\mathrm{V}} \\ =0.625\mathrm{A} \end{gathered}$$

As it is a parallel circuit, the total current drawn is,

$$\begin{gathered} {\mathrm{I}}_{\mathrm{Total}}={\mathrm{I}}_{\mathrm{t}}+{\mathrm{I}}_{\mathrm{Pan}}+{\mathrm{I}}_{\mathrm{Lamp}} \\ =15\mathrm{A}+11.67\mathrm{A}+0.625\mathrm{A} \\ =27.295\mathrm{A} \end{gathered}$$

Therefore, the total current drawn from each device is.

$$\begin{gathered} {\mathrm{I}}_{\mathrm{t}}=15\mathrm{A} \\ {\mathrm{I}}_{\mathrm{Pan}}=11.67\mathrm{A} \\ {\mathrm{I}}_{\mathrm{Lamp}}=0.625\mathrm{A} \end{gathered}$$

(b)

The fuse will explode since the total current is larger than 15 A.