Question

При сопротивлении реостата 1 Ом напряжение на зажимах источника тока было 1,5 В, при сопротивлении реостата 2 Ом напряжении 2 В. Определите внутреннее сопротивление и ЭДС источника тока, к которому подключён реостат.

Answer 1

Привет,
дано :
R1=1 ом
U1=1,5B
R2=2ом
U2=2B
решение:
найдем I1 и I2
I1=U1/R1=1,5/1=1,5A
I2=U2/R2=2/2=1A
Запишем закон ома для полной цепи
I=E/(R+r)
выразим E
E=I(R+r)=IR+Ir
ЭДС равно у этих соединений равно
Теперь подставим
I1R1+I1r=I2R2+I2r
1,5*1+1,5r=1*2+1r
1,5+1,5r=2+r
0,5r=0,5
r=1ом
Теперь найдем ЭДС
E=1,5*(1+1)=3B

Answer 2

Calculation of Internal Resistance and EMF of the Current Source

To determine the internal resistance and electromotive force (EMF) of the current source connected to the rheostat, we can use the given information about the voltage across the terminals of the current source at different resistances.

Let's denote the internal resistance of the current source as r and the EMF as E.

At a resistance of 1 Ohm, the voltage across the terminals of the current source is 1.5 V. This can be represented by the equation:

E - (1 Ohm) * I = 1.5 V At a resistance of 2 Ohms, the voltage across the terminals of the current source is 2 V. This can be represented by the equation:

E - (2 Ohms) * I = 2 V To solve these equations and find the values of r and E, we can use the method of substitution.

Subtracting the second equation from the first equation, we get:

(1 Ohm) * I - (2 Ohms) * I = 1.5 V - 2 V

Simplifying the equation, we have:

-I = -0.5 V

Dividing both sides of the equation by -1, we find:

I = 0.5 A

Substituting the value of I into either of the original equations, we can solve for E:

E - (1 Ohm) * (0.5 A) = 1.5 V

Simplifying the equation, we have:

E - 0.5 V = 1.5 V

Adding 0.5 V to both sides of the equation, we find:

E = 2 V

Therefore, the internal resistance of the current source (r) is 1 Ohm and the electromotive force (E) is 2 V.

To summarize: - The internal resistance of the current source is 1 Ohm. - The electromotive force (EMF) of the current source is 2 V.

Please let me know if there's anything else I can help you with!