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Question

Why electric current doesn't obey traingle rule of addition even though it has magnitude and direction

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Solution

Even through it has magnitude and direction, current is not a vector quantity. So it does not obey triangle law of addition.

Current is not a vector because despite direction it does not obey the triangle law of vector addtion.

Imagine two current carrying branches meeting at a juntion/node, you do not add currents at junction vectorly. The currents in the two paths add numerically to equal the current coming into the junction I = I1 + I2

Quantities which have direction but do not follow the triangle law of vector addition are Known as Tensor Quantities.

In fact tensors are merely a generalisation of scalars and vectors; a scalar is a zero rank tensor, and a vector is a first rank tensor. Current is a zero rank tensor which means it is a scalar quantity.

Hope you understand!


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