The charge of an electron is a fundamental physical constant. If a particle has a charge 100 times that of an electron, we can calculate its total charge using the known charge of an electron.
Step-by-Step Calculation of Charge
Given Data:
- Charge of an electron e=1.6×10−19e = 1.6 \times 10^{-19}e=1.6×10−19 C
- Charge on the particle = 100 times the charge of an electron
Formula Used:
Q=100×eQ = 100 \times eQ=100×e Q=100×(1.6×10−19)Q = 100 \times (1.6 \times 10^{-19})Q=100×(1.6×10−19) Q=1.6×10−17 CQ = 1.6 \times 10^{-17} \text{ C}Q=1.6×10−17 C
Final Answer:
Q=1.6×10−17 CQ = 1.6 \times 10^{-17} \text{ C}Q=1.6×10−17 C
Key Points to Remember
- The charge of an electron is always negative: −1.6×10−19-1.6 \times 10^{-19}−1.6×10−19 C.
- If the particle is positively charged, its charge will be +1.6×10−17+1.6 \times 10^{-17}+1.6×10−17 C.
- If the particle is negatively charged, its charge will be −1.6×10−17-1.6 \times 10^{-17}−1.6×10−17 C.
- Charge is quantized, meaning it always exists as an integer multiple of the elementary charge eee.
💡 Tip: The charge on any particle can be found using the formula Q=n×eQ = n \times eQ=n×e, where nnn is the number of elementary charges.