The coefficients F_n in the exponential form of Fourier series are

If I (s) , initial value of i(t) is

L[c₁f₁(t) + c₂f₂(t)] =

Pick the odd one

A unit step function is used to represent the closing a switch in a constant voltage system.

State variable formulation is very suitable for computer solution.

Inverse Fourier transform of 'is

For a wave v = V _1m sin (ωt + θ₁ ) - V_3m sin (3ωt + θ₃), the rms value is (0.5 V²_1m + 0.5 V²_3m)^0.5

The function Ae^{(s + jω)t} represens a rotating phasor having a magnitude increasing with time.

Half wave sysmmetry means f(t) = - f(t ± T/2).

If X(z) = 2az^-1/(1 - az^-1)³ and |a| < |z|, then the initial value x₀ is

In an ac circuit the fundamental component of current wave lags the corresponding voltage wave by 20°. The third harmonic component of current wave lags the corresponding voltage by an angle.

If I (s) , initial value of i(t) is

Which of following is recursive system?

A voltage v(t) which is a gaussian ergodic random process witha mean of zero and a varance of 4 volt² is measured by a meter which first square and then reads its dc component. The reading will be

The Fourier transform of f(t) = cos ω₀t is

A voltage v =sin ωt +sin 5 ωt is applied to a pure capacitor having capacitance of 1 μF. If ω =rad/sec, the current through the capacitor is

Pick out the odd one

X and Y are two random variables and Z = X + Y . Letmz, m_z, m_x, m_y represent mean of Z, X and Y. Then

F.T. of continuous non-periodic signal is

The function Ae^{(s + jω)t} represens a rotating phasor having a magnitude increasing with time.

If I (s) , initial value of i(t) is

If ξ f(t) = F(jω), ξf(t-a) =

The function Ae^{(s + jω)t} represens a rotating phasor having a magnitude increasing with time.

A voltage v(t) which is a gaussian ergodic random process witha mean of zero and a varance of 4 volt² is measured by a meter which first square and then reads its dc component. The reading will be

If I (s) , initial value of i(t) is

L[c₁f₁(t) + c₂f₂(t)] =

The sampling of a function f(l) = sin 2pf₀t starts from a zero crossing. The signal can be detected if sampling time T is

X and Y are two random variables and Z = X + Y . Letmz, m_z, m_x, m_y represent mean of Z, X and Y. Then

F.T. of continuous non-periodic signal is

Which of following is recursive system?

If X(z) = 2az^-1/(1 - az^-1)³ and |a| < |z|, then the initial value x₀ is

The function shown in the figure

If f₁(t) ↔ F₁ (jω) and f₂(t) ↔ F₂(jω), then f₁(t)↔ f₂(t)

X and Y are two random variables and Z = X + Y . Letmz, m_z, m_x, m_y represent mean of Z, X and Y. Then

F.T. of continuous non-periodic signal is

In an ac circuit the fundamental component of current wave lags the corresponding voltage wave by 20°. The third harmonic component of current wave lags the corresponding voltage by an angle.

Parseval's theorem for energy tells that

Parseval's theorem for energy tells that

The final value of is

L[c₁f₁(t) + c₂f₂(t)] =

F.T. of continuous non-periodic signal is

A wave f(t) has half wave symmetry and time period equal to T. Then

A voltage v(t) which is a gaussian ergodic random process witha mean of zero and a varance of 4 volt² is measured by a meter which first square and then reads its dc component. The reading will be

The function shown in the figure

If f₁(t) ↔ F₁ (jω) and f₂(t) ↔ F₂(jω), then f₁(t)↔ f₂(t)

Parseval's theorem for energy tells that

The sampling of a function f(l) = sin 2pf₀t starts from a zero crossing. The signal can be detected if sampling time T is

If ξ f(t) = F(jω), ξf(t-a) =

A system has poles at 0.Hz, 1 Hz andHz, zeros at 5 Hz,Hz andHz. The approximate phase of the system response atHz is