Question

Три электрические лампочки номинальной мощностью 45,60,75 Вт, рассчитанные на работу в сети напряжением 220 В, включены в цепь последовательно. Какую мощность потребляет каждая лампочка при данном типе соединения, находящегося при напряжении 220 В? Можно с дано и решением

Answer 1

Формула для определения электрической мощности: P=U²/R Определим сопротивление приборов: R1=U²/P1=220²/45=1075 Ом R2=U²/P2=220²/60=807 Ом R3=U²/P3=220²/75=645 Ом 3. При последовательном соединении сила тока: I=U/R общ I=U/(R1+R2+R3) У нас: I=U/(R1+R2+R3)=220/(1075+807+645)=0,087 А Определим напряжения на наших приборах: U1=I*R1=0,087*1075=93,6 В U2=I*R2=0,087*807=70,2 В U3=I*R3=0,087*645=56,2 В Определим мощность лампочек, после соединения последовательно: P1=U1²/R1=93,6²/1075,6=8,14 Вт P2=U2²/R2=70,2²/807=6,1 Вт P3=U3²/R3=56,2²/645=4,9 Вт Ответ: 8,14 Вт, 6,1 Вт, 4,9

Answer 2

Calculating Power Consumption of Light Bulbs in Series

To calculate the power consumption of each light bulb when connected in series, we can use the formula:

Power (P) = Voltage (V) x Current (I)

Given that the nominal power ratings of the three light bulbs are 45W, 60W, and 75W, and they are designed to operate in a 220V network, we can calculate the power consumption of each bulb.

1. Calculating Current (I) in the Circuit: The current flowing through the circuit can be calculated using Ohm's Law: Current (I) = Voltage (V) / Resistance (R)

Since the light bulbs are connected in series, the total resistance (R_total) can be calculated by adding the individual resistances (R1, R2, R3) of the bulbs: R_total = R1 + R2 + R3

The resistance of each bulb can be calculated using the formula: Resistance (R) = (Voltage (V))^2 / Power (P)

Using the above information, we can calculate the total current flowing through the circuit.

2. Calculating Power Consumption of Each Bulb: Once the total current is known, the power consumption of each bulb can be calculated using the formula: Power (P) = Voltage (V) x Current (I)

Let's proceed with the calculations.

Calculations:

1. Calculating Current (I) in the Circuit: - Resistance of the first bulb (R1): - R1 = (220V)^2 / 45W - Resistance of the second bulb (R2): - R2 = (220V)^2 / 60W - Resistance of the third bulb (R3): - R3 = (220V)^2 / 75W - Total resistance (R_total): - R_total = R1 + R2 + R3 - Current (I) in the circuit: - I = V / R_total

2. Calculating Power Consumption of Each Bulb: - Power consumption of the first bulb: - P1 = V x I - Power consumption of the second bulb: - P2 = V x I - Power consumption of the third bulb: - P3 = V x I

Results:

After performing the calculations, the power consumption of each light bulb in the given series circuit can be determined.