If a charged capacitor is connected to a coil by closing a switch (see figure), energy is transferred to the coil and then back to the capacitor in an oscillatory motion. The voltage V (in volts) across the capacitor will gradually diminish to 0 with time t (in seconds). Complete parts (a)-(c). (a) Graph the equation V(t) = e O A. - 1/3 cos (nt), 0 st≤ 3, relating V and t. Choose the correct graph below. Imª OB. -1/3? (b) At what times t will the graph of V touch the graph of y = e When does V touch the graph of y = - e C -1/3₂ M -14 O C. t= seconds (Use ascending order. Use a comma to separate answers as needed. Type an integer or a simplified fraction.) Ass The voltage will be between -0.4 and 0.4 volt from about to second. (Round to two decimal places as needed.) -1- U Capacitor t=seconds (Use ascending order. Use a comma to separate answers as needed. Type an integer or a simplified fraction.) (c) When will the voltage V be between 0.4 and 0.4 volt? Type the first time interval for which V is between 0.4 and 0.4 volt. Be sure to round the endpoints correctly so that they are still in the interval. Switch Coil
If a charged capacitor is connected to a coil by closing a switch (see figure), energy is transferred to the coil and then back to the capacitor in an oscillatory motion. The voltage V (in volts) across the capacitor will gradually diminish to 0 with time t (in seconds). Complete parts (a)-(c). (a) Graph the equation V(t) = e O A. - 1/3 cos (nt), 0 st≤ 3, relating V and t. Choose the correct graph below. Imª OB. -1/3? (b) At what times t will the graph of V touch the graph of y = e When does V touch the graph of y = - e C -1/3₂ M -14 O C. t= seconds (Use ascending order. Use a comma to separate answers as needed. Type an integer or a simplified fraction.) Ass The voltage will be between -0.4 and 0.4 volt from about to second. (Round to two decimal places as needed.) -1- U Capacitor t=seconds (Use ascending order. Use a comma to separate answers as needed. Type an integer or a simplified fraction.) (c) When will the voltage V be between 0.4 and 0.4 volt? Type the first time interval for which V is between 0.4 and 0.4 volt. Be sure to round the endpoints correctly so that they are still in the interval. Switch Coil
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 4SE: Define Newton’s Law of Cooling. Then name at least three real-world situations where Newton’s Law of...
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