The average power of the motor is 0.153 Watt
To find the average power, the given values are,
No .of turns of the wire = 80
Dimensions is given as, 2.50 cm by 4.00 cm
Magnetic field = 0.800 T.
current = 10 mA.
Angular speed = 3.60 ×10³ rev/min
What is average power?
Average power is defined as the ratio of total work done by the body to the total time taken by the body.
Average power P avg = W / ΔT Watt
W - Work in One revolution
For first one half revolution,
W = 2 NIAB
= 2× 80×10×10⁻³×0.0250×0.040×0.800× Sin 90°
= 2 × 6.4 × 10 ⁻⁴
= 1.2 × 10⁻³ J
For full revolution,
W = 2 × 1.2 × 10⁻³ J
= 2.56 × 10⁻³ J
Calculating power,
Time for one revolution is Δt = 60/3600 = 1/60s
Average power = W / Δt
= 2.56 x 10⁻³ / (1/60)
= 0.153 Watt.
The average power of the motor is 0.153 Watt.
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