The differential equation R+=0 describes the charges P coulombs at time t (in seconds), where C and R are the capacitance (in farads) and resistance (in ohms). respectively. (a) Solve the equation for P. given P = P₁ at t = 0. (b) Given the capacitance and resistance of a circuit to be 6.5 x 10 °F and 225 x 10³0. respectively. After 0.29 seconds the charge falls to 7 coulombs. Calculate the initial charge. Then, determine the charge after 1.5 seconds.
The differential equation R+=0 describes the charges P coulombs at time t (in seconds), where C and R are the capacitance (in farads) and resistance (in ohms). respectively. (a) Solve the equation for P. given P = P₁ at t = 0. (b) Given the capacitance and resistance of a circuit to be 6.5 x 10 °F and 225 x 10³0. respectively. After 0.29 seconds the charge falls to 7 coulombs. Calculate the initial charge. Then, determine the charge after 1.5 seconds.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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