a torch bulb is rated 2.5 v and 750 mA calculate its power, its resistance ,and energy consumed, if the bulb is lighted for 4 hours
Answers
Answer:
Explanation:
Solution,
Here, we have
Voltage, (V) = 2.5 V
Current, (I) = 750 mA = 0.75 A
Here, the bulb is lighted for 4 hours.
(i) Power
Power generated = VI
Power generated = 2.50 × 0.75
Power generated = 1.87 W
Hence, the Power generated is 1.87 W.
(ii) Resistance
Resistance (R) = V/I
Resistance (R) = 2.5/0.75
Resistance (R) = 3.33 Ω
Hence, the Resistance is 3.33 Ω.
(ii) Energy consumed in 4 hours
Energy consumed = P × t
Energy consumed = 1.87 × 4
Energy consumed = 7.48 wh
Hence, the energy consumed in 4 hrs is 7.48 wh.
Given
➝ Potential difference = 2.5 v
➝ Current = 750 mA
To find
➝ Power of bulb
➝ Resistance of bulb
➝ Energy consumed if it it lighted for 4 hours.
Solution
Now we have ;
☛ Potential difference (V) = 2.5v
☛ Current (I) = 750 mA = (750)/1000 = 0.75 A
At first to find resistance we will use Ohm's law :
➝ V = I * R
➝ 2.5 = 0.75 * R
➝ R = 2.5/0.75
➝ R = 3.33Ω
∴ Resistance of bulb = 3.33Ω
_____________________________
Now we have ;
☛ Resistance (R) = 3.33Ω
☛ Potential difference (V) = 2.5v
Now we will use the formula :
➝ Power (P) = V²/R
➝ P = (2.5)²/3.33
➝ P = 6.25/3.33
➝ P = 1.87 W
∴ Power of bulb = 1.87 Watts.
____________________________
Now we have ;
☛ Power (P) = 1.87 W
☛ Time (t) = 4 hours.
Now we also know that,
➝ Power (P) = Energy (W)/Time(t)
➝ 1.87 = W/4
➝ W = 1.87 × 4
➝ W = 7.48 Joules.
∴ Energy consumed by bulb = 7.48 J