Question

Напряжение на клеммах батареи равно 50,0 В при силе тока во внешней цепи 5,5 А и 58,2 В при силе тока 1,8 А. Чему равны ЭДС и внутреннее сопротивление батареи? ​

Answer 1

Ответ:

Объяснение:

U1 = 50,0 В

I1 = 5,5 А

U2 = 58,2 В

I2 =  1,8 А.

E = ?

r = ?

R = U/I

Е = I1*(R1+r) = (I1*U1 / I1) + I1*r = U1 + I1*r

E = I2*(R2+r) = U2 + I2*r

приравняем относительно ЭДС

U1 + I1*r = U2 + I2*r

50 + 5.5*r = 58.2 + 1.8*r

отсюда внутреннее сопротивление

3.7r = 8.2

r = 2.2 Ома

Найдем ЭДС

E = U1 + I1*r = 50 + 5,5*2,2 = 62,1 Вольт

Answer 2

Calculating Battery EMF and Internal Resistance

To calculate the electromotive force (EMF) and internal resistance of the battery, we can use the following formulas:

1. EMF (E) can be calculated using the equation: E = V + Ir where V is the voltage across the terminals of the battery, I is the current in the external circuit, and r is the internal resistance of the battery.

2. Internal Resistance (r) can be calculated using the equation: r = (E - V) / I where E is the EMF of the battery, V is the voltage across the terminals of the battery, and I is the current in the external circuit.

Given: - Voltage across the terminals of the battery, V1 = 50.0 V at I1 = 5.5 A - Voltage across the terminals of the battery, V2 = 58.2 V at I2 = 1.8 A

Calculating EMF:

Using the formula E = V + Ir, we can calculate the EMF of the battery for both sets of values.

For the first set of values: E1 = V1 + I1r

For the second set of values: E2 = V2 + I2r

Calculating Internal Resistance:

Using the formula r = (E - V) / I, we can calculate the internal resistance of the battery for both sets of values.

For the first set of values: r1 = (E1 - V1) / I1

For the second set of values: r2 = (E2 - V2) / I2

Let's calculate these values.

Results:

- For the first set of values: - E1 = 50.0 + 5.5r1 - r1 = (E1 - 50.0) / 5.5

- For the second set of values: - E2 = 58.2 + 1.8r2 - r2 = (E2 - 58.2) / 1.8

By solving these equations, we can find the values of EMF and internal resistance for the battery.