Question

Помогите пожалуйста решить вопрос по электро техники, срочно нужно, развёрнутым ответом. В цепи, состоящей из последовательно соединенных четырех резисторов. R1 = 40 Ом, R2 = 50 Ом, R3 = 10 Ом, R4 = 20 Ом, измерено напряжение на третьем резисторе U3 = 10В. Чему равно напряжение на каждом резисторе и всей цепи?

Answer 1

Ответ:

U1=40(В)

U2=50(В)

U3=10(B)

U4=20(B)

U=120(B)

Объяснение:

Мы знаем напряжение на 3 резисторе и его сопротивление, тогда:

I=U/R=10/10=1(А)

ввиду того, что резисторы соединены последовательно, в цепи единственный ток, равный 1 А => найдем напряжение на оставшихся резисторах:

U=I*R

U1=1*40=40(В)

U2=1*50=50(В)

U3=1*10=10(B)

U4=1*20=20(B)

Найдём напряжение всей цепи. Для этого сложим напряжение всех четырёх резисторов, получим:

U=U1+U2+U3+U4=40+50+10+20=120(B)

Answer 2

#### Calculation of Voltage across Each Resistor and the Entire Circuit To calculate the voltage across each resistor and the entire circuit, we can use Ohm's Law, which states that the voltage (V) across a resistor is equal to the current (I) flowing through it multiplied by its resistance (R). In this case, we have four resistors connected in series: R1 = 40 Ω, R2 = 50 Ω, R3 = 10 Ω, and R4 = 20 Ω. The voltage measured across the third resistor, U3, is 10 V. To find the current flowing through the circuit, we can use the fact that the current is the same at all points in a series circuit. Therefore, the current flowing through each resistor is the same. Let's assume the current flowing through the circuit is I. Using Ohm's Law, we can calculate the current: I = U3 / R3 I = 10 V / 10 Ω I = 1 A Now that we know the current, we can calculate the voltage across each resistor: **Voltage across R1:** V1 = I * R1 V1 = 1 A * 40 Ω V1 = 40 V **Voltage across R2:** V2 = I * R2 V2 = 1 A * 50 Ω V2 = 50 V **Voltage across R3:** V3 = U3 V3 = 10 V **Voltage across R4:** V4 = I * R4 V4 = 1 A * 20 Ω V4 = 20 V Finally, to find the total voltage across the circuit, we can sum up the voltages across each resistor: Total voltage = V1 + V2 + V3 + V4 Total voltage = 40 V + 50 V + 10 V + 20 V Total voltage = 120 V Therefore, the voltage across each resistor is as follows: - Voltage across R1: 40 V - Voltage across R2: 50 V - Voltage across R3: 10 V - Voltage across R4: 20 V And the total voltage across the entire circuit is 120 V. Please let me know if you need any further assistance!