In the circuit shown below, calculate

$(a)$ total resistance in arm $CE,$

$(b)$ total current drawn from the battery, and

$(c)$ current in each arm, i.e., $A B$ and $C E$ of the circuit.

1091-259

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

$(a)$ In arm $CE$ resistors of value $2$ and $4\, ohm$ are in series, therefore,

Total resistance in $\operatorname{arm} CE =2+4=6 ohm$

$(b)$ Total resistance of the circuit is

$R _{ P }=\frac{6 \times 6}{6+6}=3 \Omega$

Therefore, total current in the circuit is

$I=\frac{V}{R}=\frac{3}{3}=1 A$

$(c)$ Since the arms $CE$ and $AB$ have the same resistance, therefore, this current is split equally amongst the two. Hence, current in arms $AB$ and $CE$ is $0.5 A$

Similar Questions

An electric iron consumes energy at a rate of $840\, W$ when heating is at the maximum rate and $360\, W$ when the heating is-at the minimum. The voltage is $220\, V$. What are the current and the resistance in each case ?

Silicon is $......$

$(a)$ How much current will an electric bulb draw from a $220\, V$ source, if the resistance of the bulb filament is $1200\,ohm$ ?

$(b)$ How much current will an electric heater coil draw from a $220\, V$ source, if the resistance of the heater coil is $100\, ohm$ ?

How many joule are there in one kilowatt hour ?

What is the lowest resistance that can be obtained by combining four coils of resistances $4\, \Omega, 8\, \Omega, 12\, \Omega$ and $24\, \Omega ?$