2010013705

Level: 
Project ID: 
2010013705
Source Problem: 
Accepted: 
0
Clonable: 
1
Easy: 
0
An electrical source is characterized by the electromotive force \(U_e=60\,\mathrm{V}\) and the internal resistance \(R_i=2\,\Omega\). Determine the value of the electric current for which the appliance power will be at its maximum and determine the value of this maximum power as well. \[\] Hint: The dependence of the power of an appliance (\(P\), unit Watt (\(\mathrm{W}\))) on the magnitude of the folowing current (\(I\), unit Ampere (\(\mathrm{A}\))) is given by the relation \(P=U_eI-R_iI^2\). The source properties have a role of parameters: \(U_e\) is the electromotive force and \(R_i\) is the internal resistance of the source.
\(15\,\mathrm{A},\ 450\,\mathrm{W}\)
\(15\,\mathrm{A},\ 870\,\mathrm{W}\)
\(30\,\mathrm{A},\ 1740\,\mathrm{W}\)
\(10\,\mathrm{A},\ 400\,\mathrm{W}\)