Question
Asked Jan 17, 2019
Given the following expression for the current i (t)
Where, Io 4 A and tı 3 s. Assume that the charge at t 0 is zero, i.e. q(0)-0.
What is the value for charge at t 3.5s:
q(3.5)-O C
Unknown
q(3.5)-4 C
q(3.5)- 14 C
help_outline

Image Transcriptionclose

Given the following expression for the current i (t) Where, Io 4 A and tı 3 s. Assume that the charge at t 0 is zero, i.e. q(0)-0. What is the value for charge at t 3.5s: q(3.5)-O C Unknown q(3.5)-4 C q(3.5)- 14 C

fullscreen
check_circleExpert Solution
Step 1

Step-1:

To determine: The value of charge at time t = 3.5 s.

Given information:  The expression of current is

  • Current I0=4 A at time t1=3 s.
  • At time t=0 charge q(0) is zero.

 

fullscreen
Step 2

Formula used:

The charge transferred between time t0 to t is obtained by expression:

Here q is the charge, i is the current at time t.

fullscreen
Step 3

Calculation:

Find the charge at time t = 3.5 s: 

Substitute the the values i = I0 A, t0 = 0 s and t = 3.5 s in equation-1  to find the charge,

Integrate the function and substitute value of the time...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: In the hydraulic press used in a trash compactor, the radii of the input piston and the output plung...

A: Given,

question_answer

Q: Can you show me how to work this? I’m thinking I’m getting confused on the units. Thanks!

A: The ideal gas equation is,

question_answer

Q: A batted baseball leaves the bat at an angle of 35.0 ∘above the horizontal and is caught by an outfi...

A: (a)The ball is making a projectile motion. The range and angle made by the projectile are given,henc...

question_answer

Q: What are real & virtual images? Can you focus them on a screen?

A: A real image is formed when the rays of light after reflection or refraction actually meet at some p...

question_answer

Q: An electric motor has an effective resistance of 33.4 Ω and an inductive reactance of 49.4 Ω when wo...

A: Write the expression for the rms current of  a LR circuit.

question_answer

Q: The figure below shows the position graph of a mass oscillating on a horizontal spring. What is the ...

A: At t = 0, x = 0. Hence,

question_answer

Q: What is the capacitance of a parallel-plate capacitor made up of two plates of area 4cm^2 separated ...

A: The capacitance of a parallel-plate capacitor

question_answer

Q: How can the speed of an object be determined from a position versus time graph?

A: The position-time graph of the object is shown in the given figure.

question_answer

Q: A ball is thrown upward from the top of a 24.2 m tall building. The ball's initial speed is 12 m/s. ...

A: Taking sign of motion in the upward direction as positive.Given,