AP Physics C Electricity assist » Electricity and Magnetism exam » Magnetism » Calculating Magnetic Fields and Forces

An infinitely lengthy wire has actually a present of 

*
running through it. Calculation the magnetic ar at a distance 
*
away from the wire.

You are watching: The current in a wire is doubled.

*


*


*


*


*


*


Explanation:

For infinitely lengthy wires, the formula because that the magnetic ar is

*
, where 
*
is the present and 
*
is the street from the wire.

The magnetic ar is calculated using our given values.

*

*


A solenoid is 

*
long and also it is comprised of 
*
turns of wire. Exactly how much current must run with the solenoid to generate a magnetic ar of 
*
within of the solenoid?

*


Explanation:

The formula because that the magnetic ar inside the solenoid is

*
, where 
*
is the variety of turns of wire, 
*
is the length of the solenoid, and 
*
is the current.

We want to uncover the present so we resolve for

*
.

*

Plug in the values.

*

*


Two parallel wires a distance

*
 apart each bring a current
*
, and repel each other with a pressure
*
 per unit length. If the current in each cable is double to
*
, and the distance between them is halved to
*
, by what variable does the pressure per unit size change?


Explanation:

Relevant equations:

*

*

Step 1: find the initial and brand-new magnetic fields created by cable 1 at wire 2, using Ampere"s legislation with one Amperian loop the radius

*
 or
*
, respectively.

Original

*

New

*

Since the wires room parallel to every other and also wire 1"s field is command circularly roughly it, in each instance wire 1"s field is perpendicular to wire 2.

 

Step 2: find the original and new magnetic forces per unit size on wire 2, as result of the field created by cable 1.

*

Original

*

New

*

 

So, the brand-new force per unit length is 8 times greater than the original.


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Example inquiry #4 : Calculating Magnetic Fields and Forces


A region of uniform magnetic field, 

*
, is stood for by the grey area of the box in the diagram. The magnetic ar is oriented into the page.

*


A present of protons moving at velocity

*
is directed into the region of the magnetic field, as shown. Identify the correct course of the present of protons after they get in the region of magnetic field.


Possible Answers:

A semi-circular course oriented vertically upward


A semi-circular route oriented vertically downward


A semi-circular course oriented horizontally into the page


A semi-circular path oriented horizontally out of the page


Correct answer:

A semi-circular path oriented vertically upward


Explanation:

The magnetic force on a moving charged bit is given by the equation:

*

Isolating the directional component of this equation yields the understanding that the resulting force on a moving charged particle is perpendicular come the plane of the velocity vector and magnetic field vector. Making use of the right-hand-rule top top this cross-product reflects that the velocity vector right-crossed into the magnetic ar vector into the web page yields a magnetic force vector upward on a confident charge. This will an outcome in a semi-circular path oriented vertically upward.

See more: What Is 42 Degrees C In Fahrenheit ? 42 Celsius To Fahrenheit


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