In the figure given below, $A, B$. and $C$ are three ammeters. The ammeter $B$ reads $0.5\, A .$ (All the ammeters have negligible resistance.) Calculate
$(i)$ the readings in the ammeters $A$ and $C$. $(ii)$ the total resistance of the circuit.

1091-279

Vedclass pdf generator app on play store
Vedclass iOS app on app store

$(i)$ The current in the ammeters $B$ and $C$ is inversely proportional to the value of resistance in the parallel branch. Therefore,

$\frac{\text { reading of ammeter } C}{\text { reading of ammeter } B}=\frac{6}{3}=2$

Therefore, reading of ammeter $C$

$=2 \times 0.5=1.0 A$

Hence, reading of ammeter $A$

$=(0.5+1.0) A =1.5 A$

Let the total resistance of the circuit be $R$.

Therefore, $\quad R =2+ R _{ p },$ where

$\frac{1}{ R _{ P }}=\frac{1}{3}+\frac{1}{6}=\frac{1}{2}$ or $R _{ P }=2\,ohm.$

Therefore, $\quad R =2+2=4 ohm .$

Similar Questions

A hot plate of an electric oven connected to a $220\, V$ line has two resistors $A$ and $B$ each of $22\, \Omega$ resistance. These resistors may be used separately, in series or in parallel. Find the current flowing in all the three cases.

What is the commercial unit of electric energy ?

State $Ohm's$ law. How can it be verified ?

In an electric circuit, state the relationship between the direction of conventional current and the direction of flow of electrons.

In Volta's cell, what is positive electrode (anode) made up of?