Три проводника сопротивлением 10 Ом, 15 Ом, 20 Ом, сила тока 4 А, соединены последовательно.
Определите напряжение в каждом проводнике, а также общее сопротивление и напряжение в цепи ПОМОГИТЕ СРОЧНО ПОЖАЛУЙСТАОтветы на вопрос
Дано:
R1=10 Ом
R2=15 Ом
R3=20 Ом
I=4 А
Найти U1, U2, U3, R, U
При последовательном соединении:
R=R1+R2+R3=10+15+20=45 Ом
I=U/R => U=IR
U1=IR1=4×10=40 В
U2=IR2=4×15=60 В
U3=IR3=4×20=80 В
U=U1+U2+U3=40+60+80=180 В
Ответ:U1=40 В, U2=60 В, U3=80 В, R=45 Ом, U=180 В.
Calculation of Voltage and Total Resistance
To determine the voltage in each conductor and the total resistance in the circuit, we can use Ohm's Law and the formula for calculating total resistance in a series circuit.
Ohm's Law states that the voltage (V) across a conductor is equal to the current (I) flowing through it multiplied by its resistance (R):
V = I * R
In a series circuit, the total resistance (RT) is the sum of the individual resistances (R1, R2, R3, etc.):
RT = R1 + R2 + R3 + ...
Given the following information: - Resistance of the first conductor (R1) = 10 Ω - Resistance of the second conductor (R2) = 15 Ω - Resistance of the third conductor (R3) = 20 Ω - Current flowing through the circuit (I) = 4 A
We can calculate the voltage in each conductor and the total resistance as follows:
1. Voltage in the first conductor (V1): - Using Ohm's Law: V1 = I * R1 = 4 A * 10 Ω = 40 V
2. Voltage in the second conductor (V2): - Using Ohm's Law: V2 = I * R2 = 4 A * 15 Ω = 60 V
3. Voltage in the third conductor (V3): - Using Ohm's Law: V3 = I * R3 = 4 A * 20 Ω = 80 V
4. Total resistance in the circuit (RT): - Adding the individual resistances: RT = R1 + R2 + R3 = 10 Ω + 15 Ω + 20 Ω = 45 Ω
5. Voltage in the circuit (VC): - Since the circuit is connected in series, the voltage across the circuit is equal to the sum of the voltages across each conductor: - VC = V1 + V2 + V3 = 40 V + 60 V + 80 V = 180 V
Therefore, the voltage in each conductor is 40 V, 60 V, and 80 V, respectively. The total resistance in the circuit is 45 Ω, and the voltage across the circuit is 180 V.
Please note that the sources provided do not contain relevant information for this specific calculation.
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