Question

Участок электрической цепи содержит три резистора сопротивлением 10, 20 и 30 Ом, соединённых последовательно. Найдите силу тока в каждом резисторе и напряжение на концах каждого участка цепи, если напряжение на втором резисторе равно 40 В.

Answer 1

Ответ:

I=l1=l2=l=3,

второй учатсок опредедим ток l2=U2/R2=40_20=2А

общее сопротивление R=R1+R2+R3=10+20+30=60 Ом

общее напряжение U=l2×R=l×R=2×60=120В

ответ 2А 120В

Answer 2

Calculating Current and Voltage in the Circuit

To find the current in each resistor and the voltage across each segment of the circuit, we can use the following steps:

1. Calculate the Total Resistance in the Circuit: - The resistors are connected in series, so the total resistance is the sum of the individual resistances: - Total Resistance (R_total) = R1 + R2 + R3 - Total Resistance (R_total) = 10Ω + 20Ω + 30Ω - Total Resistance (R_total) = 60Ω

2. Calculate the Current in the Circuit: - The current in the circuit can be found using Ohm's Law, where V is the voltage across the circuit: - Current (I) = V / R_total

3. Calculate the Voltage Across Each Resistor: - The voltage across each resistor can be found using Ohm's Law, where R is the resistance of the specific resistor: - Voltage (V) = I * R

4. Calculate the Voltage Across Each Segment of the Circuit: - The voltage across each segment can be found by summing the voltages across the respective resistors.

Applying the Formulas

1. Total Resistance: - R_total = 10Ω + 20Ω + 30Ω - R_total = 60Ω

2. Current in the Circuit: - Given that the voltage across the second resistor is 40V, we can calculate the current in the circuit: - Current (I) = V / R_total - Current (I) = 40V / 60Ω - Current (I) = 0.67A

3. Current in Each Resistor: - Using the calculated current, we can find the current in each resistor: - Current in R1 = 0.67A - Current in R2 = 0.67A - Current in R3 = 0.67A

4. Voltage Across Each Resistor: - Voltage across R1 = 0.67A * 10Ω = 6.7V - Voltage across R2 = 0.67A * 20Ω = 13.4V - Voltage across R3 = 0.67A * 30Ω = 20.1V

5. Voltage Across Each Segment of the Circuit: - Voltage across the first segment = Voltage across R1 = 6.7V - Voltage across the second segment = Voltage across R2 = 13.4V - Voltage across the third segment = Voltage across R3 = 20.1V

So, the current in each resistor is 0.67A, and the voltage across each segment of the circuit is as follows: - Voltage across the first segment: 6.7V - Voltage across the second segment: 13.4V - Voltage across the third segment: 20.1V