Fundamentals of Physics Chapter 26 Solutions: Current and Resistance
Halliday Resnick and Walker Fundamentals of Physics Volume 2 Solutions for Chapter 26 ‘Current and Resistance’ is a perfectly curated solution book that will help you in JEE Physics preparation. Halliday Resnick and Walker Fundamentals of Physics Volume 2 Current and Resistance chapter will explain to you the concepts such as electric current, current density, resistance and resistivity, and Ohm’s law. After a thorough reading of these concepts, you will be able to identify the junction of current in a circuit, how the current arrows are drawn in a schematic diagram, drift speed of electrons, the motion of drift electrons and the relationship between i, v & R.
Resnick Halliday and Walker Fundamentals of Physics Volume 2 Current and Resistance solutions have one exercise which is divided into 5 modules with a total of 54 questions. All of these questions cover the major topics of this chapter like an electric current, resistance, resistivity, powers, semiconductors and superconductors. Apart from this, 31 additional problems are also there in this chapter. So, You just practice them more and more so that you can command over the concepts of this chapter.
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Important Topics Of Resnick Halliday & Walker Fundamentals of Physics Volume 2 Solutions Chapter 26: Current and Resistance
Well, you all know this chapter has its importance among all the other chapters in Physics. So, you must study the key concepts associated with this chapter. Let’s have a look at them-
- Electric Current-
In simple words, you can say the electric current is equal to the rate of change of charge carriers in a given time interval. It is given by:
i = dq / dt
But how is the electric current produced? So, it is assumed that the current is produced due to the motion of electrons.
➢ The Direction of Electric Current- The direction at which positive charge carriers would move, the same direction is taken as giving direction to the electric current. The S-I unit of electric current is Ampere, and it is denoted by an alphabet A.
- Current Density-
Current Density is defined as a total electric current conducting in a unit area. It is a vector quantity and denoted by J.
Current Density = total electric current / cross-sectional area
J = i / A
Its S-I unit is amp/ m2.
- Drift Speed of the Charge Carriers-
You know that, When the electric field is produced in the conductor, then due to which the charge carriers i.e. positive and negative started moving inside the conductor. Due to the motion of charge carriers, they have a collision in between them. Well, usually positive charge carriers are moving in the direction of an electric field with the velocity V_{d} that is known as drift speed of the charge carriers.
Let’s see the relation between the electric current and drift velocity
i = n A e V_{d}
Where A is the cross-sectional area, n is the no. of the charge carriers per unit volume, e is the charge on each carrier and V_{d} is the drift velocity.
- Resistance-
Simply, you can say Resistance R of a conductor is voltage divided by the Electric current.
R = V / i
Where, V is the potential difference between two points, and i is the current produced in the circuit.
But technically, it is the hindrance in the conductor that restrain the conductivity. Here-
Resistivity= 1 / Conductivity
Its S-I unit is Ohm (Ω).
- The Resistivity of Metals–
Like, when metals are subjected to some temperature, it causes the movement of ions that halt the motion of free electrons in the metals which causes resistivity in metals.
See the relation between Resistivity, Resistance, length, and area respectively.
ρ = R x A / l
We can deduce the key points from the above relation-
➢ The Resistivity of metals is directly proportional to Resistance
➢ On decreasing the length, the resistivity of the metals will go up.
➢ Greater the area, greater the resistivity of a metal
- Ohm’s Law-
It is the law that tells us that an electric current produced in the circuit is directly proportional to the voltage across the circuit.
V = I . R
Consider the following graph that shows voltage is directly proportional to current.
Power- Power is defined as the rate of change in energy transfer.
P = i . V
where P is the power and V is the potential differences between the two points.
- Semiconductors-
They refer to the materials which have low conduction or can say less number of conducting electrons. However, Doping is a technique through which semiconductors can behave as conductors. Typically, two types of semiconductors are there in Physics-
➢ p-type semiconductors
➢ n-type semiconductors
- Superconductors-
Superconductors are the materials which lose all the electrical resistance when they are subjected to cool temperature or below the threshold temperature. Aluminium and Niobium are the two most prominent examples of it.
Discussion Of Resnick Halliday & Walker Volume 2 Solutions Chapter 26- Current and Resistance
Module 1: Electric Current
Module-26.1 has 3 questions based on the concept of electric current. In one of the questions, you have to determine the amount of charge and the no. of electrons passed through a cross-sectional area.
Module 2: Current Density
There are 10 Halliday Resnick’s problems in Module- 26.2 that is based on the current density. From minimum and maximum current density to uniform current density, you will be able to solve many JEE level questions in this module.
Module 3: Resistance and Resistivity
Module-26.3 comprises 23 questions. All of these questions are quite interesting and can be quite tricky at times. These questions use the concepts of electrical resistance and resistivity of metal.
Question no. 19 of Module-26.3 is about the resistivity of the wire. A diameter, length and the resistance of the wire is given. You need to determine the resistivity of the wire using the formula of it.
Module 4: Ohm’s Law
Module-26.4 contains only 1 question that uses the concept of ohm’s law. This question is about the concept of the free electron model of electrical conduction of metals. You need to show that the resistivity of metals is directly proportional to the square root of the temperature T.
Module 5: Power, Semiconductors, Superconductors
In the last Module 26.5, there are 17 questions with their solutions. All you need to do is just go through the concepts related to powers, semiconductors, and superconductors to tackle the questions of this module.
Halliday Resnick and Walker Volume 2 Solutions for Current and Resistance include 31 additional problems as well. They have a mix of questions, you have to go through each of the concepts of this chapter to solve it.
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