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.

The bandwidth (Δf) of an RLC circuit is inversely proportional to the resistance (R). Increasing R decreases the bandwidth.

The quality factor Q is inversely proportional to resistance. Increasing resistance decreases Q.

Resonance in an RLC circuit occurs when the inductive reactance equals the capacitive reactance, resulting in maximum current at a specific frequency.

At resonance, the impedance in an RLC circuit is at a minimum.

At resonance, the impedance of an RLC circuit is at its minimum.

Resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC).

If the inductive reactance (XL) is greater than the capacitive reactance (XC), the circuit is inductive.

The resonant frequency f0 = 1/(2π√(LC)) = 1/(2π√(0.1 * 100e-6)) = 159 Hz.

The resonant frequency f0 = 1/(2π√(LC)) = 1/(2π√(0.1 * 100e-6)) = 159 Hz.

Using f = 1/(2π√(LC)), we find f = 1/(2π√(0.1 * 100e-6)) ≈ 159 Hz.

The quality factor (Q) is given by Q = (1/R)√(L/C). Increasing R decreases Q.

Using Z = √(R² + X²), we find X = √(Z² - R²). Here, Z = 20Ω, R = 15Ω.

Using Z = √(R² + (XL)²), solve for XL.

Using Z = √(R² + X²), we find X = √(Z² - R²) = √(50² - 30²) = √(2500 - 900) = √1600 = 40 ohms.

At resonance in an RLC series circuit, the impedance is equal to the resistance.

Resonance in an RLC series circuit occurs when the inductive reactance (X_L) equals the capacitive reactance (X_C), i.e., X_L = X_C.

In angiosperms, the ovary develops into a fruit, which contains the seeds.

In beta decay, a beta particle (which is an electron or positron) is emitted from the nucleus.

In Biot-Savart Law, 'dL' represents an infinitesimal element of length along the current-carrying conductor.

Degrees of freedom refer to the number of independent movements or parameters that can vary in a system.

The hexadecimal number 1A converts to decimal as 1*16^1 + 10*16^0 = 26.

Bit rate is defined as the number of bits transmitted per second in a digital communication system.

Increasing the distance between the slits increases the fringe width because the angle of diffraction increases.

For constructive interference, the path difference must be an integer multiple of the wavelength, so for the first order maximum, it is λ.

Pioneer species are the first organisms to colonize previously uninhabited or disturbed environments.

Reduction refers to the gain of electrons in a chemical reaction.