EE1P21
Electricity and Magnetism
Instruction 9
Chapter 29
Challenge the future
1
Preliminary Discussion on Maxwells Equations
For simplicity let us consider the vacuum as the medium under analysis.
Differential Form
Integral Form
=
0
=
0
=0
= 0
=
=

EE1P21
Electricity and Magnetism
Instruction 7
Chapter 26 27
Challenge the future
1
Preliminary Discussion on the Application of
the Biot-Savart Law
Derivation of the formula for the magnetic field
induced by an infinite current line
(, , 0) (, , 0)
=

EE1P21
Electricity and Magnetism
Instruction 6
Chapter 26
Challenge the future
1
Chapter 26 Exercise 16
An electron moving at right angles to a 0.10T magnetic field experiences an acceleration of
6.0 1015 m/s2 . (a) Whats its speed? (b) By how much does i

EE1P21
Electricity and Magnetism
Instruction 4
Challenge the future
1
Chapter 23 Exercise 19
An uncharged capacitor has parallel plates 5.0 cm on a side, spaced 1.2 mm apart. (a) How
much work is required to transfer 7.2 C from one plate to the other? (b)

EE1P21
Electricity and Magnetism
Instruction 5
Challenge the future
1
Chapter 24 Exercise 19
A cylindrical tube of seawater carries 350 mA of current. If the electric field in the water is
21 V/m, whats the tubes diameter?
Assuming a uniform current densi

EE1P21
Electricity and Magnetism
Instruction 8
Chapter 27
Challenge the future
1
Chapter 27 Exercise 26
A 500-turn solenoid 23 cm long and 1.5 cm in diameter carries 65 mA. How much magnetic
energy does it contain?
We first note that the inductance of a s

EE1P21
Electricity and Magnetism
Instruction 3
Challenge the future
1
Chapter 22 Exercise 25
The potential at the surface of a 10 cm radius sphere is 4.8 kV. Whats the spheres total
charge, assuming charge is distributed in a spherically symmetric way?
We