1. How much charge is represented by 4 ,600 electrons? 2. Calculate the amount of charge represented by two million protons. 3. The total charge entering a terminal is given by q=5tsin4pi tmC Calculate the current at t=0.5s 4. Determine the total charge entering a terminal between t=1s and t=2s if the current passing the terminal is i=(3t^2-t)A

1. The charge represented by 4,600 electrons can be calculated using the fundamental charge of an electron, which is approximately coulombs. Therefore, the charge represented by 4,600 electrons is: 2. The charge represented by two million protons can be calculated using the fundamental charge of a proton, which is also approximately coulombs. Therefore, the charge represented by two million protons is: 3. To calculate the current at s, we can use the formula for current, which is the rate of change of charge with respect to time. Given the formula for charge \(q = 5t \sin(4\pi t) \, \text{mC}\), we can find the current by differentiating with respect to : Differentiating with respect to : Using the product rule: Now, substituting s: 4. To determine the total charge entering a terminal between s and s, we need to integrate the current function \(i = (3t^2 - t) \, \text{A}\) over this time interval: Integrating the function: Therefore, the total charge entering the terminal between s and s is 5.5 coulombs.