**Title: Calculating the Current Across a Capacitor****Objective:**To calculate the current across the capacitor as shown in Figure P8.6 when given a specific voltage input.**Voltage Input:**\[ u_2(t) = 12 \sin (414t + 60^\circ) \, V \]**Circuit Description:**- The schematic diagram depicts a simple RC circuit.- The capacitor \( C \) is given as \( 1 \, \mu F \).- Voltage across the capacitor is denoted as \( v(t) \).- Current through the capacitor is denoted as \( i(t) \).**Diagram Explanation (Figure P8.6):**- The circuit shows a capacitor connected in series with a voltage source.- \( v(t) \) is the input voltage across the capacitor.- The capacitor induces a current \( i(t) \) through itself.**Task:**- Use the formula for the current across a capacitor: \[ i(t) = C \cdot \frac{du(t)}{dt} \]- Find \( i(t) \) and express it in the format: \[ i(t) = C \cos(wt + P) \, \text{mA} \]**Notes on Entering Your Solution:**- Provide your solution in milliAmpere (mA).- Enter your solution to the thousandth place of a milliAmpere (mA).- Express your current function in cosine format.- Do not include units in your final answer. - Example format: If the solution is \( 5 \, \text{mA} \), enter as 5.000.

The circuit diagram,In this question, we need to find the value of C given for a current i(t) The…

Calculate the current across the capacitor shown in Fig. P8.6 if the voltage input is u2(t)=12 sin (414t+60°) V + ● v(t) i(t) Figure P8.6 For a current of i(t) = C cos(wt +P) mA, enter the value of C. Notes on entering solution: Enter your solution in milliAmpere(mA) • Enter your solution to the thousandth place of a milliAmpere(mA) • Have your current in cosine format C = 1 µF Do not include units in your answer .ex. 5mA is entered as 5.000

Calculate the current across the capacitor shown in Fig. P8.6 if the voltage input is u2(t)=12 sin (414t+60°) V + ● v(t) i(t) Figure P8.6 For a current of i(t) = C cos(wt +P) mA, enter the value of C. Notes on entering solution: Enter your solution in milliAmpere(mA) • Enter your solution to the thousandth place of a milliAmpere(mA) • Have your current in cosine format C = 1 µF Do not include units in your answer .ex. 5mA is entered as 5.000

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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