Total resistance R = R1 + R2 = 3Ω + 6Ω = 9Ω. Current I = V/R = 12V/9Ω = 4/3A.

Total resistance R = R1 + R2 = 4Ω + 8Ω = 12Ω; I = V / R = 12V / 12Ω = 1A.

In a series circuit, if one resistor fails, the circuit is broken and the current becomes zero.

In a series circuit, if one resistor fails open, the current becomes zero because the circuit is broken.

In a series circuit, total resistance R_total = R1 + R2 = 5 Ω + 10 Ω = 15 Ω.

In series, total resistance R_total = R1 + R2 = 5 + 10 = 15 Ω.

In a series circuit, removing a resistor decreases the total resistance because the total resistance is the sum of all resistances.

At resonance in a series RLC circuit, the inductive reactance (X_L) equals the capacitive reactance (X_C), hence X_L = X_C.

Increasing the resistance in a series RLC circuit decreases the bandwidth of the resonance peak.

Increasing the resistance in a series RLC circuit decreases the bandwidth of the resonance because the quality factor (Q) is inversely proportional to resistance.

In a series RLC circuit, increasing the resistance decreases the bandwidth because the quality factor (Q) is inversely proportional to resistance.

At resonance, the current is maximum in a series RLC circuit.

Beyond the resonant frequency, the circuit becomes more inductive, causing the current to decrease.

At resonance in a series RLC circuit, the total impedance (Z) is equal to the resistance (R) because the inductive and capacitive reactances cancel each other out.

The condition for resonance in a series RLC circuit is ωL = 1/ωC.

The slope of the linear portion of the shear stress-strain curve represents the shear modulus of the material.

Total energy E is proportional to the square of the amplitude. If amplitude is halved, energy is reduced to 1/4, hence it halves.

The total energy in simple harmonic motion is proportional to the square of the amplitude. If the amplitude increases, the total energy increases.

The phase constant φ depends on the initial conditions of the motion, such as the initial position and velocity.

The period (T) increases with mass (T = 2π√(m/k)).

The period T is given by T = 2π√(m/k). If m increases, T increases.

The maximum displacement from the mean position in simple harmonic motion is called Amplitude.

The maximum displacement from the mean position in simple harmonic motion is called the amplitude.

Acceleration is always opposite to displacement in SHM, hence 180 degrees.

In SHM, the restoring force is directly proportional to the displacement from the mean position.

In simple harmonic motion, the restoring force is directly proportional to the displacement from the mean position.

The velocity is maximum at the mean position where the displacement is zero.

In simple harmonic motion, the period is independent of mass for a given spring constant, but for a pendulum, it is independent of mass.

The period T = 2π√(m/k) increases with an increase in mass (m).

Maximum speed (v_max) = ωA. Thus, ω = v_max/A = 4/2 = 2 rad/s.