Question

Ёлочная гирлянда, рассчитанная на 220В, состоит из 18 лампочек сопротивлением 40 Ом каждая. Определить силу тока в гирлянде и напряжение на зажимах каждой лампочки.

Answer 1

Решение:

I=U/R,где

I-сила тока

U-напряжение

R-сопротивление

I=220/40=5.5A

U=Uобщ./18=220/18=12,2В

Ответ: сила тока равна 5,5А,

а напряжение на зажимах каждой лампочки- 12,2 В 

Answer 2

Calculation of Current and Voltage in the Garland

To determine the current and voltage in the garland, we can use Ohm's law, which states that the current flowing through a conductor is equal to the voltage across the conductor divided by its resistance.

The given information states that the garland is designed for 220V and consists of 18 bulbs, each with a resistance of 40Ω.

Using Ohm's law, we can calculate the current flowing through the garland and the voltage across each bulb.

Step 1: Calculate the total resistance of the garland:

Since the garland consists of 18 bulbs connected in series, the total resistance can be calculated by summing up the resistances of each bulb.

Total resistance (R_total) = Resistance of one bulb × Number of bulbs

R_total = 40Ω × 18 = 720Ω

Step 2: Calculate the current flowing through the garland:

Using Ohm's law, we can calculate the current (I) flowing through the garland.

Current (I) = Voltage (V) / Total resistance (R_total)

Given that the voltage is 220V, we can substitute the values into the formula:

I = 220V / 720Ω

Calculating this gives us the value of the current flowing through the garland.

Step 3: Calculate the voltage across each bulb:

Since the bulbs are connected in series, the total voltage across the garland is equal to the sum of the voltages across each bulb.

Voltage across each bulb = Total voltage / Number of bulbs

Voltage across each bulb = 220V / 18

Calculating this gives us the voltage across each bulb.

Results:

Based on the calculations, the current flowing through the garland is 0.3056A (rounded to four decimal places), and the voltage across each bulb is 12.2222V (rounded to four decimal places).

Please note that the calculations assume ideal conditions and do not take into account any losses or variations in the electrical system.