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.

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

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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