Question

если емкость уменьшится в 4 раза, а индуктивность возрастет в 8 раз, то период колебаний в электрическом контуре...

Answer 1

если емкость уменьшится в 4 раза, а индуктивность возрастет в 8 раз, то период колебаний в электрическом контуре... то период увеличится в (2 из под корня) т.е

в 1,4142135 раз.

уменьшение емкости в 4 раза приводит к тому ,что период уменьшается в 2 раза,а увеличение индуктивности в 8 раз приводит к увеличению периода в (8 из под корня) раз, в итоге период увеличится в 1,4 раза

Answer 2

формула для периода колебаний

Т=2пи*корень кв (LC)

изменим (8L*C/4)=(2LC)

 

период возрастет в кор.кв(2) раза

Answer 3

Calculation of the Period of Oscillation in an Electrical Circuit

To calculate the period of oscillation in an electrical circuit, we need to consider the changes in capacitance and inductance.

Given that the capacitance decreases by a factor of 4 and the inductance increases by a factor of 8, we can determine the effect on the period of oscillation.

The period of oscillation in an electrical circuit is given by the formula:

T = 2π√(LC)

Where: - T is the period of oscillation - L is the inductance of the circuit - C is the capacitance of the circuit

To calculate the new period of oscillation, we need to substitute the new values of capacitance and inductance into the formula.

Let's assume the initial values of capacitance and inductance are C1 and L1, respectively. After the changes, the new values of capacitance and inductance are C2 and L2, respectively.

We are given that: - C2 = C1/4 (capacitance decreases by a factor of 4) - L2 = 8L1 (inductance increases by a factor of 8)

Substituting these values into the formula, we get:

T2 = 2π√(L2C2) = 2π√((8L1)(C1/4)) = 2π√(2L1C1)

Therefore, the new period of oscillation, T2, is equal to 2π times the square root of 2 times the product of the initial inductance, L1, and capacitance, C1.

Please note that the specific values of L1 and C1 are not provided in the question, so we cannot calculate the exact value of the new period of oscillation. However, we can conclude that the new period of oscillation will be larger than the initial period due to the increase in inductance.

Conclusion

In summary, if the capacitance in an electrical circuit decreases by a factor of 4 and the inductance increases by a factor of 8, the period of oscillation in the circuit will be larger than the initial period. The exact value of the new period depends on the initial values of capacitance and inductance, which are not provided in the question.