Find the resonant frequency of an A.C circuit having a 40.0 Ω resistor, a 3.00 mH inductor, and a 5.00 μF capacitor.

Find the resonant frequency of an A.C circuit having a 40.0 Ω resistor, a 3.00 mH inductor, and a 5.00 μF capacitor.

  1. 1.7 kHz
  2. 3.0 kHz
  3. 2.5 kHz
  4. 1.3 kHz ✓

Explanation

Volume formulas: cube = side³, cuboid = l × w × h, cylinder = πr²h, cone = ⅓πr²h, sphere = (4/3)πr³, prism = base area × height, pyramid = ⅓ × base area × height.

Surface area: total area of all faces. Cube = 6s², cuboid = 2(lw + lh + wh), cylinder = 2πr² + 2πrh (two circles plus curved surface), sphere = 4πr².

Volume measured in cubic units (m³, cm³). 1 litre = 1000 cm³. Capacity (for liquids) often in litres; volume (for solids) often in cubic units. Convert carefully between units.