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The resistance in the wire is given by the resistivity of the material by the lenght and divided by the cross-sectional area (R = pL/A). From here we can rearrange and have p = RA/L. However, we ...

The temperature of a body of mass m and specific heat capacity c rises by change in temperature (delta)T when an amount of heat Q is added to it (Q = mc(delta)T). From the equation we see that th...

Here we have an equation involving absolute values. As a general rule |a| = +a and |a| = -a. We can apply that to our RHS. In the first case we get that 3x + 4 = 3x - 11, however after we subtract 3x from...

Here z is a complex number, and therefore, z = a + bi. Thus, our equation becomes (a + bi)^2 = i. Expanding the brackets we get a^2 + 2abi + (b^2)(i^2) = i. Since i is the squ...

A tritone is an interval between two notes in a diatonic scale that is exactly half an octave. It's characterised by the interval of a diminished fifth, or augmented fourth. As an example of a tritone, ta...