In a purely inductive circuit, the current lags the voltage by 90 degrees (or π/2 radians). Therefore, I(t) = I_0 sin(ωt - π/2).

The current through a capacitor is given by I(t) = C dV/dt. For V(t) = V₀ sin(ωt), the current can be derived from this expression.

RMS voltage V_rms = V_peak / √2 = 120 / √2 = 84.85 V.

The average power (P) consumed in an AC circuit is given by P = VI cos(φ), where φ is the phase angle between voltage and current.

In an inductor, the current lags behind the voltage by 90 degrees.

In an inductive circuit, the current lags behind the voltage by 90 degrees.

In an inductor, the current lags the voltage by 90 degrees.

In an inductive circuit, the current lags the voltage by 90 degrees.

The peak voltage V0 is given directly in the equation as 10V.

The peak voltage in the equation V(t) = V0 sin(ωt) is V0.

In a purely inductive AC circuit, the current lags the voltage by 90 degrees.

The average power (P) in an AC circuit is given by P = V_rms²/R, where R is the resistance.

Reactance is measured in Ohms, just like resistance.

In an AC generator, the induced EMF is maximum when the coil is positioned at 90 degrees to the magnetic field, as this is when the rate of change of magnetic flux is greatest.

In an adiabatic process, the relationship is given by PV^n = constant, where n is the heat capacity ratio.

In an adiabatic process, as the temperature decreases, the pressure also decreases due to the ideal gas law.

In an adiabatic process, there is no heat exchange with the surroundings, meaning no heat is absorbed or released.

In an adiabatic process, there is no heat exchange, so the internal energy remains constant for an ideal gas.

Herbivores are primary consumers as they feed directly on producers (plants).

Plants are primary producers as they convert sunlight into chemical energy through photosynthesis.

In an electrochemical cell, oxidation occurs at the anode.

In an isochoric process, the volume of the system remains constant.

In an isochoric process, the volume remains constant.

According to Boyle's Law, P1V1 = P2V2. If V2 = 2V1, then P2 = P1/2.

For an ideal gas, the internal energy depends only on temperature. Since the temperature remains constant in an isothermal process, the internal energy also remains constant.

In an isothermal process, the temperature of the system remains constant.

Net reactance = XL - XC = 10Ω - 5Ω = 5Ω.

Net reactance X = XL - XC = 30Ω - 20Ω = 10Ω.

Calculate XL = 2πfL = 31.42Ω and XC = 1/(2πfC) = 159.15Ω. Z = √(R² + (XL - XC)²) = √(10² + (31.42 - 159.15)²) = 15.81Ω.

Total impedance Z = √(R² + (XL - XC)²) = √(6² + (8 - 4)²) = √(36 + 16) = √52 ≈ 10Ω.