๐ก In a series circuit, resonance minimizes impedance (Z = R) and maximizes current. In a parallel circuit, resonance maximizes impedance (Z = R) and minimizes source current.
Metric Prefix Conversions
Always convert prefixed numbers to their base units before plug-in to equations.
Prefix
Multiplier
Example & Calculation
kilo (k)
1,000 (10ยณ)
5.6 kฮฉ = 5.6 ร 1,000 = 5,600 ฮฉ
milli (m)
0.001 (10โปยณ)
15 mH = 15 / 1,000 = 0.015 H
micro (ยต)
0.000001 (10โปโถ)
47 ยตF = 47 / 1,000,000 = 0.000047 F
nano (n)
10โปโน
10 nF = 10 / 1,000,000,000 = 0.00000001 F
Math Tips for Success
โข Rounding: Keep 4-5 decimal digits during intermediate steps to prevent precision loss, and round the final answer to 2 decimal places.
โข Vector Math: In AC, resistors and reactances cannot be added directly because they are out of phase. Always use the vector formula: Z = โ(Rยฒ + Xยฒ).