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Determine the current density when 40 amperes of current is flowing through the battery in a given area of 10 m 2.
Current density j formula. Now due to applied electric potential the conductor carries a current of 3 a. Current density in metal. By putting above values of j and r in equation 1 we get.
Equation 1 as a simple example assume the current density is uniform equal density across the cross section of a wire with radius r 10 cm. At a given time t if v is the velocity of the charges at m and da is an infinitesimal surface centred at m and orthogonal to v then during an amount of time dt only the. Now the electric current carried by the conductor per square mm of its cross section is 325 12 a.
To know more about the. Current density or electric current density is very much related to electromagnetism. Formula to calculate current density is given by.
Use the equation for current density. Current density calculation example. The symbol j is used for electric current density.
In this article we will discuss the current density formula with examples. The total electric current i can be related to the current density j by summing up or integrating the current density over the area where charge is flowing. Suppose that the total current flow is.
Where j current density. Where i denote the current flowing through the conductor in amperes. The current density formula is given by j i a 40 10.
A 5 mm 2 copper wire has a current of 5 ma of current flowing through it. Current density formula is expressed as j i a. It is a vector quantity.
The current density vector j is the vector whose magnitude is the electric current density and whose direction is the same as the motion of the positive charges at m. It is defined as the amount of electric current flowing through a unit value of the cross sectional area. Current density is expressed in am 2.
Suppose we have taken one conductor of cross section 25 square mm. Current density or electric current density is related to electromagnetism and is defined as the amount of electric current flowing through a unit cross sectional area. As current density is given by jia refer article of current density conductance and electrical conductivity and resistivity is given by rmne 2 t.
Determine the current density. What is the current density. Current density is expressed in am 2.
J 4 am 2. The current through the conductor is i 6 ma 0006 amperes or 6 x 10 3 amps. It is given that i 40 a area 10 m 2.
The current density is denoted by j and measured in amps per square meter. Let us begin learning. The concept of current density is very simple but it is much use full in the field of electrical engineering.
Current density formula questions. A denotes the cross section area in m 2. The si unit of electric current density is ampere per square meter.
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