A bulb is rated at 330V- 110W. What do you think is its resistance? Three such bulbs burn for 5hrs at a stretch. What is the energy consumed? Calculate the cost in rupees if the rate is 70 paise per unit?
Question
A bulb is rated at 330V- 110W. What do you think is its resistance? Three such bulbs burn for 5hrs at a stretch. What is the energy consumed? Calculate the cost in rupees if the rate is 70 paise per unit?
Solution
To find the resistance of the bulb, we can use Ohm's Law, which states that resistance (R) is equal to voltage (V) divided by power (P).
Given that the bulb is rated at 330V and 110W, we can calculate the resistance as follows:
Resistance (R) = Voltage (V) / Power (P) R = 330V / 110W R = 3 ohms
Therefore, the resistance of the bulb is 3 ohms.
To calculate the energy consumed by three bulbs burning for 5 hours, we can use the formula:
Energy (E) = Power (P) x Time (T)
Since we have three bulbs, the total power consumed would be:
Total Power (P) = Power per bulb (Pb) x Number of bulbs (N) P = 110W x 3 P = 330W
Now, we can calculate the energy consumed:
Energy (E) = Power (P) x Time (T) E = 330W x 5 hours E = 1650 watt-hours (Wh)
To convert watt-hours to units, we divide by 1000:
Energy (E) = 1650 Wh / 1000 E = 1.65 units
Given that the rate is 70 paise per unit, we can calculate the cost in rupees:
Cost = Energy (E) x Rate Cost = 1.65 units x 70 paise Cost = 115.5 paise
Therefore, the cost in rupees would be 115.5 paise.
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