Exams › GATE › Engineering Mathematics
For a parallel RLC circuit, which one of the following statements is NOT correct?
- The bandwidth of the circuit decreases if R is increased
- The bandwidth of the circuit remains same if L is increased
- At resonance, input impedance is a real quantity
- At resonance, the magnitude of input impedance attains its minimum value
Correct answer: At resonance, the magnitude of input impedance attains its minimum value
Solution
At resonance in a parallel RLC circuit, the impedance is at its maximum, not minimum, because the reactive components cancel each other out, leading to a purely resistive input impedance.
Related GATE Engineering Mathematics questions
- The second-order differential equation in an unknown function u: u(x,y) is defined as ∂²u/∂x² = 2. Assuming g: g(x), f: f(y), and h: h(y), the general solution of the above differential equation is
- Which of the following equations belong/belongs to the class of second-order, linear, homogeneous partial differential equations:
- The solution of the equation x dy/dx + y = 0 passing through the point (1,1) is
- The Laplace transform F(s) of the exponential function, f(t)=e^(at) when t≥0, where a is a constant and (s−a)>0, is
- The Laplace transform of sinh(at) is
- An ordinary differential equation is given below.
(dy/dx)(x ln x) = y
The solution for the above equation is
(Note: K denotes a constant in the options)
⚔️ Practice GATE Engineering Mathematics free + battle 1v1 →