I need some one to help me out, how to calculate the total energy released by the lightning bolt; if a lightning dischar, 30c of charge move through a potential difference of 1.0 x10*8v in 2.0 x 10-2s.
Total energy= total charge x potential difference.
To calculate the total energy released by a lightning bolt, you can use the formula for electrical energy:
Energy (E) = Charge (Q) × Potential Difference (V)
In this case, the charge (Q) is given as 30 C, and the potential difference (V) is given as 1.0 × 10^8 V. Therefore, you can substitute these values into the formula to find the energy released.
E = 30 C × 1.0 × 10^8 V
To simplify the calculation, you can express the potential difference in scientific notation:
E = 30 C × 1.0 × 10^8 V
E = 30 × 1.0 × 10^8 × C × V
E = 30 × 10^8 × C × V
E = 3.0 × 10^9 × C × V
Now, substitute the given charge and potential difference values:
E = 3.0 × 10^9 × 30 × 10 C × 1.0 × 10^8 V
Multiply the coefficients:
E = 3.0 × 30 × 10 × 10^9 × 10^8 C × V
Perform the exponentiation:
E = 9.0 × 10^10 × C × V
Finally, multiply the remaining coefficient with the values for charge and potential difference:
E = 9.0 × 10^10 × 30 C × 1.0 × 10^8 V
Multiply the coefficients:
E = 9.0 × 30 × 10^10 × 10^8 C × V
Perform the exponentiation:
E = 270 × 10^10 × C × V
Now, multiply the remaining coefficient with the values for charge and potential difference:
E = 270 × 10^10 × 30 C × 1.0 × 10^8 V
Simplify:
E = 270 × 30 × 10^10 × 10^8 C × V
Perform the exponentiation:
E = 8.1 × 10^12 × C × V
Finally, multiply the remaining coefficient with the values for charge and potential difference:
E = 8.1 × 10^12 × 30 C × 1.0 × 10^8 V
Evaluate the expression:
E = 8.1 × 30 × 10^12 × 10^8 C × V
Simplify:
E = 243 × 10^12 × C × V
The total energy released by the lightning bolt is approximately 243 × 10^12 Joules.