解:(1)$U = U_1 = I_1R_1,$已知$I_1 = 0.6\ A,$$R_1 = 10\ \Omega,$则$U = 0.6\ A\times10\ \Omega = 6\ V。$
(2)若$R_2$串联在电路中,$I_{串}=I_1 - 0.3\ A = 0.6\ A - 0.3\ A = 0.3\ A,$根据$R_{总}=\frac{U}{I_{串}},$$U = 6\ V,$可得$R_{总}=\frac{6\ V}{0.3\ A}=20\ \Omega,$$R_2 = R_{总}-R_1 = 20\ \Omega - 10\ \Omega = 10\ \Omega;$若将$R_2$并联在电路中,$I_2 = 0.3\ A,$根据$R_2'=\frac{U}{I_2},$$U = 6\ V,$可得$R_2'=\frac{6\ V}{0.3\ A}=20\ \Omega。$