In a parallel circuit does the current change if you add more branches?

Assuming that the voltage between two nodes are the same, current changes with branches. If you add branches, this means the current will be divided, depending on the resistance strength. Greater the resistance, the lower the current. If there is no resistance, it will end up in a short circuit, getting all the current. If there is great resistance, there will be very little current passing.

Mathematically, V=I*R is the formula. If you know the voltage between two nodes, you can calculate the currency (I) in each branch and for the whole nodes by putting in the particular resistance value for the branch or the whole nodes.