Question

Две электрические лампы, имеющие сопротивление 1000 и 488 Ом, включены параллельно под напряжение 220 В. Определите силу тока в каждой из ламп и в подводящей сети.

Answer 1

R=R1*R2/(R1+R2)=1000*488/(1000+488)=328 Ом
I=U/R=220/328=0,67 A
I1*R1=(I-I1)*R2
I1=I*R2/(R1+R2)=0,67*488/(1000+488)=0,22 A
I2=I-I1=0,67-0,22=0,45 A

Answer 2

Calculation of Current and Voltage in Parallel Circuit

To determine the current flowing through each lamp and the total current in the circuit, we can use Ohm's Law and the rules for calculating currents in parallel circuits.

Given: - Resistance of Lamp 1 (R1) = 1000 Ω - Resistance of Lamp 2 (R2) = 488 Ω - Voltage across the circuit (V) = 220 V

Calculation of Current in Each Lamp

In a parallel circuit, the voltage across each component is the same. Therefore, the voltage across each lamp is 220 V.

Using Ohm's Law (V = I * R), we can calculate the current flowing through each lamp:

For Lamp 1: - Resistance (R1) = 1000 Ω - Voltage (V) = 220 V

Using the formula V = I * R, we can rearrange it to solve for current (I): - I1 = V / R1

Substituting the given values: - I1 = 220 V / 1000 Ω - I1 ≈ 0.22 A

For Lamp 2: - Resistance (R2) = 488 Ω - Voltage (V) = 220 V

Using the formula V = I * R, we can rearrange it to solve for current (I): - I2 = V / R2

Substituting the given values: - I2 = 220 V / 488 Ω - I2 ≈ 0.45 A

Therefore, the current flowing through Lamp 1 (I1) is approximately 0.22 A, and the current flowing through Lamp 2 (I2) is approximately 0.45 A.

Calculation of Total Current in the Circuit

In a parallel circuit, the total current is the sum of the currents flowing through each branch. Therefore, the total current in the circuit is the sum of I1 and I2:

- Total Current (Itotal) = I1 + I2

Substituting the calculated values: - Itotal = 0.22 A + 0.45 A - Itotal ≈ 0.67 A

Therefore, the total current in the circuit is approximately 0.67 A.

Calculation of Voltage in the Power Supply

In a parallel circuit, the voltage across each component is the same as the voltage across the power supply. Therefore, the voltage in the power supply is 220 V.

Summary of Results

- Current flowing through Lamp 1 (I1) ≈ 0.22 A - Current flowing through Lamp 2 (I2) ≈ 0.45 A - Total current in the circuit (Itotal) ≈ 0.67 A - Voltage in the power supply (V) = 220 V

Please note that the calculations provided are based on the given information and assumptions.