Question

An electric motor takes 5 A from a 220 V line. Determine the power of the motor and the energy consumed in 2 h.​

Answer 1

Explanation:

The power of the motor can be calculated by the equation,

↪P = VI

Substituting the values in the above equation, we get

↪P = 220 V × 5 A = 1100 W

The energy consumed by the motor can be calculated using the equation,

↪E = P × T

Substituting the values in the above equation, we get

↪P = 1100 W × 7200 = 7.92 × 10^{6} J

The power of the motor is 1100 W and the energy consumed by the motor in 2 hours is 7.92 × 10^{6} J.

Answer 2

Question :

An electric motor takes 5 A from a 220 V line. Determine the power of the motor and the energy consumed in 2 h.​

Given :

• Current flowing (I) = 5 ampere
• Potential difference (V) = 220 V
• Time (t) = 2 h

To find :

• Power of motor
• Energy consumed

Solution :

Power of electrical circuit is given by,

$\longmapsto\boxed{\boxed{\large\sf{Power \ (P) = Current \ (I) \times Potential \ difference\ (V) }}}$

Substituting values,

$\longmapsto\sf Power \ (P) = 5 \times 220 \\\\ \\ \longmapsto\sf Power \ (P) = 1100 \\\\ \\ \longmapsto\boxed{\underline{\overline{\bf{\mid{Power \ (P) = 1100 \ watt \mid}}}}}$

$\therefore\underline{\textsf{Power of the motor = {\textbf{1100 Watt}}}}$

Now energy consumed :

Power of motor (P) = 1100 W

Time (t) = 2 h = (2 * 3600) s = 7200 s

Now power is given by the following equation also,

$\longmapsto\boxed{\boxed{\large\sf{Power \ (P) = \dfrac{Energy \ consumed\ (Q) }{Time \ (t) } }}}$

Substituting values,

$\longmapsto\sf{1100 = \dfrac{Energy \ consumed}{7200}} \\\\ \\ \longmapsto\sf Energy \ consumed = 1100 \times 7200 \\\\ \\ \longmapsto\boxed{\underline{\overline{\bf{\mid{Energy \ consumed = 7,920,000 \ J \mid}}}}}$

$\therefore\underline{\textsf{Energy consumed by motor in 2 hours = {\textbf{7,920,000 J}}}}$