Question

В цепь переменного тока напряжение 220 В включены две электрические лампочки мощностью 75 и 100 Вт. Найдите общий ток, потребляемый лампочками.

Answer 1

Решение в скане.........

Answer 2

Calculation of Total Current Consumed by the Light Bulbs

To find the total current consumed by the light bulbs, we need to use Ohm's Law, which states that the current flowing through a circuit is equal to the voltage divided by the resistance.

In this case, the resistance of each light bulb can be calculated using the formula:

Resistance (R) = (Voltage (V))^2 / Power (P)

Let's calculate the resistance for each light bulb:

For the first light bulb with a power of 75 W: Resistance (R1) = (220 V)^2 / 75 W

For the second light bulb with a power of 100 W: Resistance (R2) = (220 V)^2 / 100 W

Now, we can calculate the total current consumed by the light bulbs using the formula:

Total Current (I) = Voltage (V) / Total Resistance (R)

The total resistance can be calculated by adding the individual resistances of the light bulbs:

Total Resistance (R) = R1 + R2

Let's calculate the total current consumed by the light bulbs:

Step 1: Calculate the resistance for each light bulb: - For the first light bulb with a power of 75 W: - Resistance (R1) = (220 V)^2 / 75 W - For the second light bulb with a power of 100 W: - Resistance (R2) = (220 V)^2 / 100 W

Step 2: Calculate the total resistance: - Total Resistance (R) = R1 + R2

Step 3: Calculate the total current consumed by the light bulbs: - Total Current (I) = Voltage (V) / Total Resistance (R)

Let's plug in the values and calculate the total current:

Step 1: Calculate the resistance for each light bulb: - For the first light bulb with a power of 75 W: - Resistance (R1) = (220 V)^2 / 75 W - Resistance (R1) = 645.867 Ω (approximately) - For the second light bulb with a power of 100 W: - Resistance (R2) = (220 V)^2 / 100 W - Resistance (R2) = 484 Ω (approximately)

Step 2: Calculate the total resistance: - Total Resistance (R) = R1 + R2 - Total Resistance (R) = 645.867 Ω + 484 Ω - Total Resistance (R) = 1129.867 Ω (approximately)

Step 3: Calculate the total current consumed by the light bulbs: - Total Current (I) = Voltage (V) / Total Resistance (R) - Total Current (I) = 220 V / 1129.867 Ω - Total Current (I) = 0.1946 A (approximately)

Therefore, the total current consumed by the light bulbs is approximately 0.1946 A.