Question

calculate the energy consumed by an electric appliances having 4 ohms of resistance When a current of 4 Amp is flowing for a time of 20 min​

Answer 1

Given:-

• A electrical appliance has a resistance of 4Ω .
• A current of 4A flows through it .
• Time of current flow is 20 minutes.

To Find:-

• The energy consumed by the electrical appliance.

Formula Used:-

We can calculate energy consumed using ,

$\large{\underline{\boxed{\green{\bf{\dag Energy\:\:=\:\:I^2Rt }}}}}$

Where ,

• I is the current.
• R is the resistance.
• t is the time of flow .

Calculation:-

Here ,

➤ Current flown = 4A .

➤ Resistance if the appliance = 4Ω.

➤ Time for which current flows = 20 min.

Firstly we must convert time into SI units .

➥ 20 min = 20 × 60s = 1200s .

On putting the respective values in the above formula stated , we have ,

$\tt :\implies Energy = I^2Rt$

$\tt :\implies Energy = (4A)^2\times 4\Omega\times 1200s$

$\tt :\implies Energy = 16A^2\times4\Omega\times1200s$

$\tt :\implies Energy = 76800\:Joules$

$\underline{\boxed{\pink{\tt{\longmapsto Energy = 7.68\times 10^4\: Joules}}}}$

$\underline{\tt{\purple{\leadsto Hence\:the\: energy\:consumed\:is\:7.68\times10^4\:Joules.}}}$