So since it is the scalar product of two vectors, the current is a scalar. … Note that scalars and vectors are tensors.
Is electricity a tensor quantity?
It is scalar because it does not obey the triangle law and electrical conductivity is a tensor quantity and not an electric current. Electric current is a scalar quantity.
What exactly is a tensor?
In mathematics, a tensor is an algebraic object that describes a (multilinear) relationship between sets of algebraic objects related to a vector space. Objects between which tensors can be mapped include vectors and scalars and even other tensors.
Is the scalar a tensor?
Tensors are simply mathematical objects that can be used to describe physical properties, just like scalars and vectors. In fact, tensors are just a generalization of scalars and vectors, a scalar is a rank zero tensor and a vector is a first rank tensor.
What are tensor quantities?
A tensor is a quantity, such as stress or strain, that has a magnitude, a direction, and a plane in which it acts. Stress and strain are both tensor quantities. … A tensor is a quantity, for example a stress or a strain, that has a magnitude, a direction and a plane in which it acts.
Why is the current scalar?
Electric current is a scalar quantity. … In the case of electric current, when two currents meet at an intersection, the resulting current is an algebraic sum, not the vector sum. Therefore, an electric current is a scalar quantity even though it has magnitude and direction.
Is the tensor a physical quantity?
A tensor quantity is a physical quantity that has no specific direction but has different values in different directions. and MI is a tensor quantity.
What is the rank of a tensor?
Rank of the tensor The rank of a tensor T is the minimum number of simple tensors whose sum is T (Bourbaki 1989, II, §7, No. 8). The null tensor has rank zero. A nonzero tensor of order 0 or 1 always has rank 1.
Is a tensor a function?
A tensor is a real-valued function of a number of vectors and/or linear forms that is linear in each of its arguments.
What is the difference between tensor and vector?
Any quantity that has both magnitude and direction is called a vector. … The only difference is that the tensor is the generalized form of scalars and vectors. Mean scalars and vectors are special cases of tensor quantities. The scalar is a rank 0 tensor and the vector is a rank 1 tensor.
Is stress a tensor?
3 answers. Stress is a 1 tensor because it describes things that happen in two directions at the same time. You can have a force directed at x pushing along an interface with constant y, that would be σxy. If we collect all these combinations σij, their collection is the stress tensor.