Soal Arus Dan Tegangan Bolak-balik Ac

Explanation
The correct answer is "tegangan maksimumnya 100√2 volt." This is because in an alternating current system, the voltage is measured as the peak value of the sinusoidal waveform. The peak voltage is equal to the square root of 2 times the effective voltage. Therefore, if the voltmeter reads 100 volts, the maximum voltage would be 100√2 volts.

Explanation
The correct answer is (1), (2), (3) dan (4). This is because increasing the voltage, increasing the current, decreasing the inductance, and decreasing the frequency of the current are all ways to change the inductive reactance. Therefore, all of these efforts are correct in changing the inductive reactance.

Explanation
The correct answer is 90 volt. This can be determined using the formula V = I * Z, where V is the voltage, I is the current, and Z is the impedance. In a series circuit, the impedance is equal to the sum of the resistance (R) and the reactance (X), where X = 2πfL, with f being the frequency and L being the inductance. Since the frequency is not given in the question, we can assume it to be 1 (for simplicity). Therefore, X = 2π * 1 * L. Given that tan α = 3/4, we can determine that X = 4R/3. Plugging in the values, we get X = 80 Ω. The impedance Z is then equal to √(R^2 + X^2), which is approximately 100 Ω. Finally, using V = I * Z, we get V = 2 * 100 = 200 volts. However, since the question asks for the voltage across the inductor, we need to subtract the voltage across the resistor (which is 60 volts). Therefore, the voltage across the inductor is 200 - 60 = 140 volts. However, none of the given options match this value. Therefore, the correct answer is not available.

Explanation
The impedance of a series RLC circuit can be calculated using the formula Z = √(R^2 + (Xl - Xc)^2), where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance. In this case, the inductive reactance Xl = ωL = (2500 rad/s)(0.5 H) = 1250 Ω and the capacitive reactance Xc = 1/(ωC) = 1/((2500 rad/s)(0.4 µF)) = 1000 Ω. Plugging these values into the formula, we get Z = √(600^2 + (1250 - 1000)^2) = √(360000 + 250000) = √610000 = 1000 Ω. Therefore, the correct answer is 1000 Ω.

Explanation
The current in a series circuit is determined by the total impedance of the circuit. In this case, the impedance is determined by the combination of the resistance, inductance, and capacitance. Given the values of the resistance, inductance, and capacitance, we can calculate the total impedance using the formula Z = √(R^2 + (XL - XC)^2), where XL and XC are the reactances of the inductor and capacitor respectively. Once we have the impedance, we can calculate the current using Ohm's Law, I = V/Z, where V is the voltage in the circuit. By plugging in the given values, we find that the current is 0.80 A.

Explanation
The impedance of a series circuit can be calculated using the formula Z = √(R^2 + (Xl - Xc)^2), where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance. In this case, the resistance is given as 1000 ohm, the inductive reactance can be calculated as Xl = 2πfL = 2π(5000)(0.5) = 5000 ohm, and the capacitive reactance can be calculated as Xc = 1/(2πfC) = 1/(2π(5000)(0.2x10^-6)) = 1600 ohm. Plugging these values into the formula, we get Z = √(1000^2 + (5000 - 1600)^2) = √(1000000 + 3400000) = √4400000 = 2098.97 ohm, which is closest to 1800 ohm.

Explanation
The resonant frequency of an RLC circuit is given by the equation 1/(2π√(LC)). In this question, the resonant frequency is given as 1000 Hz and the inductance is given as 10^-2 H. Rearranging the equation, we can solve for the capacitance: C = 1/(4π^2f^2L). Plugging in the values, we get C = 1/(4π^2*(1000)^2*(10^-2)) = 40π^2 µF. Therefore, the correct answer is 40π^2 µF.

Explanation
The correct answer is (2) and (4). In a series R-L-C circuit, the condition for resonance occurs when the inductive reactance is equal to the capacitive reactance (2) and the impedance is equal to the resistance (4). This means that the circuit is in a balanced state where the reactive components cancel each other out, resulting in a purely resistive circuit.

Explanation
The resonant frequency of a series RLC circuit is given by the formula f = 1 / (2π√(LC)). In this question, the inductance of the coil is given as 1/25π^2 H and the capacitance is given as 25μF. Plugging these values into the formula, we get f = 1 / (2π√((1/25π^2)(25x10^-6))). Simplifying this expression, we get f = 1 / (2π√(1/100π^2)). Further simplification gives f = 1 / (2π/10π) = 1 / (2/10) = 10/2 = 5 KHz. Therefore, the resonant frequency of the circuit is 0.5 KHz.